DIST2L4
FILE INFORMATION
FILENAME(S): DIST2L4
FILE TYPE(S): PRG
FILE SIZE: 5.7K
FIRST SEEN: 2025-10-19 22:48:55
APPEARS ON: 1 disk(s)
FILE HASH
5822255f5972ffc02294e711bea037b8ee2134422f70a3a6fe8455636f05ec62
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 43S1 | DIST2L4 | PRG | Radd Maxx | 25 | 6 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
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00000050: 74 2E 29 40 72 52 45 41 44 40 70 52 65 61 64 20 |t.)@rREAD@pRead |
00000060: 74 68 65 20 77 68 6F 6C 65 20 70 72 6F 62 6C 65 |the whole proble|
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00000100: 40 70 4C 65 74 20 44 7B 7D 20 3D 20 7B 7D 20 64 |@pLet D{} = {} d|
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00000250: 65 74 2E 20 54 68 65 20 73 75 6D 20 6F 66 20 74 |et. The sum of t|
00000260: 68 65 69 72 20 64 69 73 74 61 6E 63 65 73 20 69 |heir distances i|
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000002B0: 46 69 6C 6C 20 69 6E 20 74 68 65 20 75 6E 69 74 |Fill in the unit|
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000002F0: 20 28 55 73 65 20 61 62 62 72 65 76 69 61 74 65 | (Use abbreviate|
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00000400: 69 6D 65 20 69 6E 20 74 68 69 73 20 70 72 6F 62 |ime in this prob|
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000004A0: 69 6E 20 74 68 69 73 20 70 72 6F 62 6C 65 6D 20 |in this problem |
000004B0: 69 73 20 6D 65 61 73 75 72 65 64 20 69 6E 20 7B |is measured in {|
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000004E0: 20 66 72 6F 6D 20 74 68 65 20 70 72 6F 62 6C 65 | from the proble|
000004F0: 6D 20 69 6E 74 6F 20 74 68 65 20 67 72 69 64 2E |m into the grid.|
00000500: 40 68 7B 7D 40 68 54 68 65 20 74 69 6D 65 20 66 |@h{}@hThe time f|
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00000540: 73 20 74 68 65 20 74 69 6D 65 20 66 6F 72 20 7B |s the time for {|
00000550: 7D 2E 40 68 54 68 65 20 74 69 6D 65 20 66 6F 72 |}.@hThe time for|
00000560: 20 7B 7D 20 69 73 20 61 6C 73 6F 20 7B 7D 2E 40 | {} is also {}.@|
00000570: 69 28 31 33 2C 7B 7D 2C 7B 7D 29 40 68 7B 7D 40 |i(13,{},{})@h{}@|
00000580: 68 54 68 65 20 74 6F 74 61 6C 20 64 69 73 74 61 |hThe total dista|
00000590: 6E 63 65 20 69 73 20 7B 7D 40 69 28 31 39 2C 69 |nce is {}@i(19,i|
000005A0: 2C 7B 7D 29 40 70 43 68 6F 6F 73 65 20 61 20 76 |,{})@pChoose a v|
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000005C0: 73 65 6E 74 20 74 68 65 20 72 61 74 65 20 6F 66 |sent the rate of|
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000005E0: 7B 7D 2E 40 68 55 73 65 20 61 20 76 61 72 69 61 |{}.@hUse a varia|
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00000600: 20 74 68 65 20 73 6C 6F 77 65 72 20 73 70 65 65 | the slower spee|
00000610: 64 2E 20 49 6E 20 74 68 69 73 20 63 61 73 65 2C |d. In this case,|
00000620: 20 7B 7D 40 68 55 73 65 20 61 20 6C 65 74 74 65 | {}@hUse a lette|
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00000660: 7B 7D 2C 69 2C 26 76 29 40 68 52 65 70 72 65 73 |{},i,&v)@hRepres|
00000670: 65 6E 74 20 7B 7D 20 72 61 74 65 20 69 6E 20 74 |ent {} rate in t|
00000680: 65 72 6D 73 20 6F 66 20 22 26 76 22 20 28 7B 7D |erms of "&v" ({}|
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000006B0: 7D 20 65 61 63 68 20 7B 7D 2E 40 69 28 7B 7D 2C |} each {}.@i({},|
000006C0: 69 2C 26 76 7B 7D 29 40 72 50 41 52 54 53 40 70 |i,&v{})@rPARTS@p|
000006D0: 57 72 69 74 65 20 61 6E 20 65 78 70 72 65 73 73 |Write an express|
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000006F0: 20 74 68 65 20 64 69 73 74 61 6E 63 65 20 74 72 | the distance tr|
00000700: 61 76 65 6C 6C 65 64 20 62 79 20 65 61 63 68 20 |avelled by each |
00000710: 7B 7D 2E 40 68 52 61 74 65 20 2A 20 54 69 6D 65 |{}.@hRate * Time|
00000720: 20 3D 20 44 69 73 74 61 6E 63 65 40 68 52 61 74 | = Distance@hRat|
00000730: 65 20 20 5C 66 30 38 2A 20 54 69 6D 65 20 5C 66 |e \f08* Time \f|
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00000760: 74 65 20 2A 20 54 69 6D 65 20 3D 20 44 69 73 74 |te * Time = Dist|
00000770: 61 6E 63 65 40 68 52 61 74 65 20 20 5C 66 30 36 |ance@hRate \f06|
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000007F0: 6F 6E 20 3A 20 44 7B 7D 2B 44 7B 7D 3D 20 54 6F |on : D{}+D{}= To|
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00000810: 65 20 3D 20 7B 7D 2C 20 7B 7D 20 64 69 73 74 61 |e = {}, {} dista|
00000820: 6E 63 65 20 3D 20 7B 7D 20 61 6E 64 20 54 6F 74 |nce = {} and Tot|
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00000840: 74 2E 2B 7B 7D 20 64 69 73 74 2E 20 3D 20 54 6F |t.+{} dist. = To|
00000850: 74 61 6C 20 64 69 73 74 2E 20 5C 6E 7B 7D 40 69 |tal dist. \n{}@i|
00000860: 28 32 30 2C 69 2C 7B 7D 29 40 73 40 72 43 4F 4D |(20,i,{})@s@rCOM|
00000870: 50 55 54 45 40 70 53 6F 6C 76 65 20 74 68 65 20 |PUTE@pSolve the |
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00000890: 22 2E 20 55 73 65 20 70 61 70 65 72 20 61 6E 64 |". Use paper and|
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000008D0: 20 43 61 6C 63 75 6C 61 74 6F 72 2E 40 68 49 73 | Calculator.@hIs|
000008E0: 6F 6C 61 74 65 20 22 26 76 22 20 6F 6E 20 6F 6E |olate "&v" on on|
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00000910: 63 75 6C 61 74 6F 72 20 73 6F 6C 76 65 73 20 65 |culator solves e|
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00000930: 20 61 6E 64 20 64 69 73 70 6C 61 79 73 20 74 68 | and displays th|
00000940: 65 20 73 74 65 70 73 20 69 6E 20 74 68 65 20 73 |e steps in the s|
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00000960: 26 76 3D 7B 7D 29 40 70 45 6E 74 65 72 20 79 6F |&v={})@pEnter yo|
00000970: 75 72 20 61 6E 73 77 65 72 73 20 74 6F 20 74 68 |ur answers to th|
00000980: 65 20 70 72 6F 62 6C 65 6D 20 69 6E 20 74 68 65 |e problem in the|
00000990: 20 63 68 61 72 74 2E 20 52 65 6D 65 6D 62 65 72 | chart. Remember|
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000009C0: 65 20 6F 66 20 73 70 65 65 64 20 66 6F 72 20 7B |e of speed for {|
000009D0: 7D 20 69 73 20 74 68 65 20 76 61 6C 75 65 20 6F |} is the value o|
000009E0: 66 20 22 26 76 22 2E 40 68 54 68 65 20 72 61 74 |f "&v".@hThe rat|
000009F0: 65 20 6F 66 20 73 70 65 65 64 20 66 6F 72 20 7B |e of speed for {|
00000A00: 7D 20 69 73 20 74 68 65 20 76 61 6C 75 65 20 6F |} is the value o|
00000A10: 66 20 22 26 76 22 2E 20 26 76 20 3D 20 7B 7D 2C |f "&v". &v = {},|
00000A20: 20 73 6F 20 65 6E 74 65 72 20 60 7B 7D 27 2E 40 | so enter `{}'.@|
00000A30: 69 28 7B 7D 2C 69 2C 7B 7D 29 40 73 26 77 28 32 |i({},i,{})@s&w(2|
00000A40: 30 29 40 68 54 68 65 20 72 61 74 65 20 6F 66 20 |0)@hThe rate of |
00000A50: 73 70 65 65 64 20 66 6F 72 20 7B 7D 20 69 73 20 |speed for {} is |
00000A60: 74 68 65 20 76 61 6C 75 65 20 6F 66 20 7B 7D 2E |the value of {}.|
00000A70: 40 68 54 68 65 20 72 61 74 65 20 6F 66 20 73 70 |@hThe rate of sp|
00000A80: 65 65 64 20 66 6F 72 20 7B 7D 20 69 73 20 74 68 |eed for {} is th|
00000A90: 65 20 76 61 6C 75 65 20 6F 66 20 7B 7D 2E 20 7B |e value of {}. {|
00000AA0: 7D 2C 20 73 6F 20 65 6E 74 65 72 20 60 7B 7D 27 |}, so enter `{}'|
00000AB0: 2E 40 69 28 7B 7D 2C 69 2C 7B 7D 29 40 73 40 72 |.@i({},i,{})@s@r|
00000AC0: 43 48 45 43 4B 40 70 52 65 72 65 61 64 20 74 68 |CHECK@pReread th|
00000AD0: 65 20 71 75 65 73 74 69 6F 6E 2E 20 43 68 65 63 |e question. Chec|
00000AE0: 6B 20 79 6F 75 72 20 61 6E 73 77 65 72 73 2E 20 |k your answers. |
00000AF0: 45 76 61 6C 75 61 74 65 20 74 68 65 20 72 65 6D |Evaluate the rem|
00000B00: 61 69 6E 69 6E 67 20 65 78 70 72 65 73 73 69 6F |aining expressio|
00000B10: 6E 73 20 69 6E 20 74 68 65 20 63 68 61 72 74 2E |ns in the chart.|
00000B20: 40 68 53 75 62 73 74 69 74 75 74 65 20 66 6F 72 |@hSubstitute for|
00000B30: 20 22 26 76 22 20 69 6E 20 74 68 65 20 65 78 70 | "&v" in the exp|
00000B40: 72 65 73 73 69 6F 6E 20 66 6F 72 20 7B 7D 20 64 |ression for {} d|
00000B50: 69 73 74 61 6E 63 65 2E 20 54 68 65 6E 20 63 61 |istance. Then ca|
00000B60: 6C 63 75 6C 61 74 65 20 74 68 65 20 72 65 73 75 |lculate the resu|
00000B70: 6C 74 2E 40 68 7B 7D 40 69 28 31 37 2C 69 2C 7B |lt.@h{}@i(17,i,{|
00000B80: 7D 29 40 68 53 75 62 73 74 69 74 75 74 65 20 66 |})@hSubstitute f|
00000B90: 6F 72 20 22 26 76 22 20 69 6E 20 74 68 65 20 65 |or "&v" in the e|
00000BA0: 78 70 72 65 73 73 69 6F 6E 20 66 6F 72 20 7B 7D |xpression for {}|
00000BB0: 20 64 69 73 74 61 6E 63 65 2E 20 54 68 65 6E 20 | distance. Then |
00000BC0: 63 61 6C 63 75 6C 61 74 65 20 74 68 65 20 72 65 |calculate the re|
00000BD0: 73 75 6C 74 2E 40 68 7B 7D 40 69 28 31 38 2C 69 |sult.@h{}@i(18,i|
00000BE0: 2C 7B 7D 29 26 64 28 30 2C 43 68 65 63 6B 20 79 |,{})&d(0,Check y|
00000BF0: 6F 75 72 20 77 6F 72 6B 2E 20 54 68 65 20 73 75 |our work. The su|
00000C00: 6D 20 6F 66 20 7B 7D 20 64 69 73 74 61 6E 63 65 |m of {} distance|
00000C10: 73 20 73 68 6F 75 6C 64 20 62 65 20 7B 7D 2E 20 |s should be {}. |
00000C20: 47 65 74 20 72 65 61 64 79 20 66 6F 72 20 61 20 |Get ready for a |
00000C30: 6E 65 77 20 70 72 6F 62 6C 65 6D 2E 29 40 66 45 |new problem.)@fE|
00000C40: 61 73 74 62 6F 75 6E 64 20 70 6C 61 6E 65 73 20 |astbound planes |
00000C50: 74 6F 20 52 6F 6D 65 20 75 73 75 61 6C 6C 79 20 |to Rome usually |
00000C60: 67 6F 20 36 30 20 6D 69 2F 68 72 20 66 61 73 74 |go 60 mi/hr fast|
00000C70: 65 72 20 74 68 61 6E 20 77 65 73 74 62 6F 75 6E |er than westboun|
00000C80: 64 20 70 6C 61 6E 65 73 20 74 6F 20 4E 65 77 20 |d planes to New |
00000C90: 59 6F 72 6B 2E 20 49 66 20 74 68 65 20 74 72 69 |York. If the tri|
00000CA0: 70 20 69 73 20 34 35 30 30 20 6D 69 2E 20 61 6E |p is 4500 mi. an|
00000CB0: 64 20 74 68 65 20 65 61 73 74 62 6F 75 6E 64 20 |d the eastbound |
00000CC0: 61 6E 64 20 77 65 73 74 62 6F 75 6E 64 20 70 6C |and westbound pl|
00000CD0: 61 6E 65 73 20 70 61 73 73 20 61 66 74 65 72 20 |anes pass after |
00000CE0: 35 20 68 72 73 2C 20 68 6F 77 20 66 61 73 74 20 |5 hrs, how fast |
00000CF0: 64 6F 20 74 68 65 79 20 65 61 63 68 20 66 6C 79 |do they each fly|
00000D00: 3F 00 45 61 73 74 00 57 65 73 74 00 54 77 6F 20 |?.East.West.Two |
00000D10: 70 6C 61 6E 65 73 20 6C 65 61 76 69 6E 67 20 61 |planes leaving a|
00000D20: 74 20 74 68 65 20 73 61 6D 65 20 74 69 6D 65 20 |t the same time |
00000D30: 66 6C 79 20 74 6F 77 61 72 64 73 20 65 61 63 68 |fly towards each|
00000D40: 20 6F 74 68 65 72 20 61 74 20 64 69 66 66 65 72 | other at differ|
00000D50: 65 6E 74 20 72 61 74 65 73 2E 00 48 6F 77 20 66 |ent rates..How f|
00000D60: 61 73 74 20 64 6F 20 74 68 65 79 20 65 61 63 68 |ast do they each|
00000D70: 20 66 6C 79 00 65 00 45 61 73 74 27 73 00 77 00 | fly.e.East's.w.|
00000D80: 57 65 73 74 27 73 00 65 00 77 00 66 6C 79 00 60 |West's.e.w.fly.`|
00000D90: 44 65 2B 44 77 20 3D 20 54 6F 74 61 6C 27 00 74 |De+Dw = Total'.t|
00000DA0: 68 65 20 73 75 6D 20 6F 66 20 74 68 65 69 72 20 |he sum of their |
00000DB0: 64 69 73 74 61 6E 63 65 73 20 69 73 20 65 71 75 |distances is equ|
00000DC0: 61 6C 20 74 6F 20 74 68 65 20 54 6F 74 61 6C 20 |al to the Total |
00000DD0: 64 69 73 74 61 6E 63 65 2E 00 44 65 2B 44 77 20 |distance..De+Dw |
00000DE0: 3D 20 54 6F 74 61 6C 00 66 6C 79 00 60 44 65 2B |= Total.fly.`De+|
00000DF0: 44 77 20 3D 20 54 6F 74 61 6C 27 00 74 68 65 20 |Dw = Total'.the |
00000E00: 73 75 6D 20 6F 66 20 74 68 65 69 72 20 64 69 73 |sum of their dis|
00000E10: 74 61 6E 63 65 73 20 69 73 20 65 71 75 61 6C 20 |tances is equal |
00000E20: 74 6F 20 74 68 65 20 54 6F 74 61 6C 20 64 69 73 |to the Total dis|
00000E30: 74 61 6E 63 65 2E 00 60 6D 69 2F 68 72 27 00 34 |tance..`mi/hr'.4|
00000E40: 00 6D 69 2F 68 72 00 68 6F 75 72 73 20 28 60 68 |.mi/hr.hours (`h|
00000E50: 72 27 29 00 32 00 68 72 00 6D 69 6C 65 73 20 28 |r').2.hr.miles (|
00000E60: 60 6D 69 27 29 00 32 00 6D 69 00 42 6F 74 68 20 |`mi').2.mi.Both |
00000E70: 70 6C 61 6E 65 73 20 77 69 6C 6C 20 66 6C 79 20 |planes will fly |
00000E80: 66 6F 72 20 26 68 35 20 68 72 73 26 68 20 62 65 |for &h5 hrs&h be|
00000E90: 66 6F 72 65 20 74 68 65 79 20 70 61 73 73 20 65 |fore they pass e|
00000EA0: 61 63 68 20 6F 74 68 65 72 2E 00 74 68 65 20 65 |ach other..the e|
00000EB0: 61 73 74 62 6F 75 6E 64 20 70 6C 61 6E 65 20 69 |astbound plane i|
00000EC0: 73 20 60 35 27 20 68 6F 75 72 73 2E 00 69 00 35 |s `5' hours..i.5|
00000ED0: 00 74 68 65 20 77 65 73 74 62 6F 75 6E 64 20 70 |.the westbound p|
00000EE0: 6C 61 6E 65 00 74 68 65 20 65 61 73 74 62 6F 75 |lane.the eastbou|
00000EF0: 6E 64 20 70 6C 61 6E 65 00 77 65 73 74 00 60 35 |nd plane.west.`5|
00000F00: 27 20 68 6F 75 72 73 00 69 00 35 00 26 68 54 68 |' hours.i.5.&hTh|
00000F10: 65 20 74 72 69 70 20 69 73 20 34 35 30 30 20 6D |e trip is 4500 m|
00000F20: 69 26 68 2E 00 60 34 35 30 30 27 20 6D 69 6C 65 |i&h..`4500' mile|
00000F30: 73 2E 00 34 35 30 30 00 70 6C 61 6E 65 00 74 68 |s..4500.plane.th|
00000F40: 65 20 77 65 73 74 62 6F 75 6E 64 20 70 6C 61 6E |e westbound plan|
00000F50: 65 20 69 73 20 73 6C 6F 77 65 72 2E 00 77 00 57 |e is slower..w.W|
00000F60: 65 73 74 27 73 00 38 00 45 61 73 74 27 73 00 57 |est's.8.East's.W|
00000F70: 65 73 74 27 73 00 45 61 73 74 62 6F 75 6E 64 20 |est's.Eastbound |
00000F80: 70 6C 61 6E 65 73 20 67 6F 20 26 68 36 30 20 6D |planes go &h60 m|
00000F90: 69 2F 68 72 20 66 61 73 74 65 72 26 68 20 74 68 |i/hr faster&h th|
00000FA0: 61 6E 20 77 65 73 74 62 6F 75 6E 64 20 70 6C 61 |an westbound pla|
00000FB0: 6E 65 73 2E 00 26 76 2B 36 30 00 45 61 73 74 20 |nes..&v+60.East |
00000FC0: 66 6C 69 65 73 20 36 30 20 6D 69 6C 65 73 00 66 |flies 60 miles.f|
00000FD0: 75 72 74 68 65 72 20 74 68 61 6E 20 57 65 73 74 |urther than West|
00000FE0: 00 68 6F 75 72 00 37 00 2B 36 30 00 70 6C 61 6E |.hour.7.+60.plan|
00000FF0: 65 00 60 28 26 76 2B 36 30 29 20 5C 66 30 38 2A |e.`(&v+60) \f08*|
00001000: 20 35 27 20 5C 66 31 35 3D 20 45 61 73 74 27 73 | 5' \f15= East's|
00001010: 20 64 69 73 74 2E 00 35 28 26 76 2B 36 30 29 00 | dist..5(&v+60).|
00001020: 60 26 76 20 5C 66 30 36 2A 20 20 20 35 27 20 20 |`&v \f06* 5' |
00001030: 5C 66 31 33 3D 20 57 65 73 74 27 73 20 64 69 73 |\f13= West's dis|
00001040: 74 2E 00 35 26 76 00 65 00 77 00 65 00 77 00 45 |t..5&v.e.w.e.w.E|
00001050: 61 73 74 27 73 00 35 28 26 76 2B 36 30 29 00 57 |ast's.5(&v+60).W|
00001060: 65 73 74 27 73 00 35 26 76 00 34 35 30 30 00 45 |est's.5&v.4500.E|
00001070: 61 73 74 27 73 00 57 65 73 74 27 73 00 60 35 28 |ast's.West's.`5(|
00001080: 26 76 2B 36 30 29 20 2B 20 35 26 76 20 3D 20 34 |&v+60) + 5&v = 4|
00001090: 35 30 30 27 00 35 28 26 76 2B 36 30 29 2B 35 26 |500'.5(&v+60)+5&|
000010A0: 76 3D 34 35 30 30 00 34 32 30 00 26 71 48 6F 77 |v=4500.420.&qHow|
000010B0: 20 66 61 73 74 20 64 6F 20 74 68 65 79 20 65 61 | fast do they ea|
000010C0: 63 68 20 66 6C 79 3F 26 71 00 74 68 65 20 77 65 |ch fly?&q.the we|
000010D0: 73 74 62 6F 75 6E 64 20 70 6C 61 6E 65 00 57 65 |stbound plane.We|
000010E0: 73 74 00 34 32 30 00 34 32 30 00 38 00 34 32 30 |st.420.420.8.420|
000010F0: 00 74 68 65 20 65 61 73 74 62 6F 75 6E 64 20 70 |.the eastbound p|
00001100: 6C 61 6E 65 00 26 76 2B 36 30 00 45 61 73 74 00 |lane.&v+60.East.|
00001110: 26 76 2B 36 30 00 26 76 2B 36 30 20 3D 20 34 32 |&v+60.&v+60 = 42|
00001120: 30 2B 36 30 20 3D 20 60 34 38 30 27 00 34 38 30 |0+60 = `480'.480|
00001130: 00 37 00 34 38 30 00 45 61 73 74 27 73 00 26 76 |.7.480.East's.&v|
00001140: 20 3D 20 34 32 30 2C 20 73 6F 20 35 28 26 76 2B | = 420, so 5(&v+|
00001150: 36 30 29 20 3D 20 35 28 34 38 30 29 20 3D 20 60 |60) = 5(480) = `|
00001160: 32 34 30 30 27 2E 00 32 34 30 30 00 57 65 73 74 |2400'..2400.West|
00001170: 27 73 00 26 76 20 3D 20 34 32 30 2C 20 73 6F 20 |'s.&v = 420, so |
00001180: 35 26 76 20 3D 20 35 2A 34 32 30 20 3D 20 60 32 |5&v = 5*420 = `2|
00001190: 31 30 30 27 2E 00 32 31 30 30 00 74 68 65 69 72 |100'..2100.their|
000011A0: 00 34 35 30 30 00 40 66 43 68 61 72 6C 69 65 20 |.4500.@fCharlie |
000011B0: 64 72 69 76 65 73 20 74 77 69 63 65 20 61 73 20 |drives twice as |
000011C0: 66 61 73 74 20 61 73 20 45 64 69 74 68 2E 20 49 |fast as Edith. I|
000011D0: 66 20 74 68 65 79 20 6C 65 61 76 65 20 74 68 65 |f they leave the|
000011E0: 69 72 20 68 6F 75 73 65 73 20 28 31 34 34 20 6D |ir houses (144 m|
000011F0: 69 6C 65 73 20 61 70 61 72 74 29 20 61 74 20 74 |iles apart) at t|
00001200: 68 65 20 73 61 6D 65 20 74 69 6D 65 20 61 6E 64 |he same time and|
00001210: 20 64 72 69 76 65 20 74 6F 77 61 72 64 73 20 65 | drive towards e|
00001220: 61 63 68 20 6F 74 68 65 72 2C 20 74 68 65 79 20 |ach other, they |
00001230: 6D 65 65 74 20 61 66 74 65 72 20 32 20 68 6F 75 |meet after 2 hou|
00001240: 72 73 2E 20 48 6F 77 20 66 61 73 74 20 64 6F 65 |rs. How fast doe|
00001250: 73 20 65 61 63 68 20 64 72 69 76 65 3F 00 43 68 |s each drive?.Ch|
00001260: 61 72 6C 69 65 00 45 64 69 74 68 00 54 68 65 79 |arlie.Edith.They|
00001270: 20 64 72 69 76 65 20 74 6F 77 61 72 64 73 20 65 | drive towards e|
00001280: 61 63 68 20 6F 74 68 65 72 20 61 74 20 64 69 66 |ach other at dif|
00001290: 66 65 72 65 6E 74 20 72 61 74 65 73 20 66 6F 72 |ferent rates for|
000012A0: 20 32 20 68 6F 75 72 73 20 75 6E 74 69 6C 20 74 | 2 hours until t|
000012B0: 68 65 79 20 6D 65 65 74 2E 00 48 6F 77 20 66 61 |hey meet..How fa|
000012C0: 73 74 20 64 6F 65 73 20 65 61 63 68 20 64 72 69 |st does each dri|
000012D0: 76 65 00 63 00 43 68 61 72 6C 69 65 27 73 00 65 |ve.c.Charlie's.e|
000012E0: 00 45 64 69 74 68 27 73 00 63 00 65 00 64 72 69 |.Edith's.c.e.dri|
000012F0: 76 65 00 60 44 63 2B 44 65 20 3D 20 54 6F 74 61 |ve.`Dc+De = Tota|
00001300: 6C 27 00 74 68 65 20 73 75 6D 20 6F 66 20 74 68 |l'.the sum of th|
00001310: 65 69 72 20 64 69 73 74 61 6E 63 65 73 20 69 73 |eir distances is|
00001320: 20 65 71 75 61 6C 20 74 6F 20 74 68 65 20 74 6F | equal to the to|
00001330: 74 61 6C 20 64 69 73 74 61 6E 63 65 2E 00 60 44 |tal distance..`D|
00001340: 63 2B 44 65 20 3D 20 54 6F 74 61 6C 27 00 64 72 |c+De = Total'.dr|
00001350: 69 76 65 00 60 44 63 2B 44 65 20 3D 20 54 6F 74 |ive.`Dc+De = Tot|
00001360: 61 6C 27 00 74 68 65 20 73 75 6D 20 6F 66 20 74 |al'.the sum of t|
00001370: 68 65 69 72 20 64 69 73 74 61 6E 63 65 73 20 69 |heir distances i|
00001380: 73 20 65 71 75 61 6C 20 74 6F 20 74 68 65 20 74 |s equal to the t|
00001390: 6F 74 61 6C 20 64 69 73 74 61 6E 63 65 2E 00 6D |otal distance..m|
000013A0: 69 6C 65 73 20 70 65 72 20 68 6F 75 72 20 28 60 |iles per hour (`|
000013B0: 6D 69 2F 68 72 27 29 00 34 00 6D 69 2F 68 72 00 |mi/hr').4.mi/hr.|
000013C0: 68 6F 75 72 73 20 28 60 68 72 27 29 00 32 00 68 |hours (`hr').2.h|
000013D0: 72 00 6D 69 6C 65 73 20 28 60 6D 69 27 29 00 32 |r.miles (`mi').2|
000013E0: 00 6D 69 00 42 6F 74 68 20 6F 66 20 74 68 65 6D |.mi.Both of them|
000013F0: 20 64 72 69 76 65 20 66 6F 72 20 26 68 32 20 68 | drive for &h2 h|
00001400: 6F 75 72 73 26 68 2E 00 43 68 61 72 6C 69 65 20 |ours&h..Charlie |
00001410: 69 73 20 60 32 27 20 68 6F 75 72 73 2E 00 69 00 |is `2' hours..i.|
00001420: 32 00 45 64 69 74 68 00 43 68 61 72 6C 69 65 00 |2.Edith.Charlie.|
00001430: 45 64 69 74 68 00 60 32 27 20 68 6F 75 72 73 00 |Edith.`2' hours.|
00001440: 69 00 32 00 54 68 65 20 74 6F 74 61 6C 20 64 69 |i.2.The total di|
00001450: 73 74 61 6E 63 65 20 62 65 74 77 65 65 6E 20 74 |stance between t|
00001460: 68 65 69 72 20 68 6F 75 73 65 73 20 69 73 20 26 |heir houses is &|
00001470: 68 31 34 34 20 6D 69 6C 65 73 26 68 2E 00 60 31 |h144 miles&h..`1|
00001480: 34 34 27 20 6D 69 6C 65 73 2E 00 31 34 34 00 70 |44' miles..144.p|
00001490: 65 72 73 6F 6E 00 45 64 69 74 68 20 64 72 69 76 |erson.Edith driv|
000014A0: 65 73 20 73 6C 6F 77 65 72 20 74 68 61 6E 20 43 |es slower than C|
000014B0: 68 61 72 6C 69 65 2E 00 65 00 45 64 69 74 68 27 |harlie..e.Edith'|
000014C0: 73 00 38 00 43 68 61 72 6C 69 65 27 73 00 45 64 |s.8.Charlie's.Ed|
000014D0: 69 74 68 27 73 00 26 71 43 68 61 72 6C 69 65 20 |ith's.&qCharlie |
000014E0: 64 72 69 76 65 73 20 74 77 69 63 65 20 61 73 20 |drives twice as |
000014F0: 66 61 73 74 20 61 73 20 45 64 69 74 68 26 71 00 |fast as Edith&q.|
00001500: 32 26 76 00 43 68 61 72 6C 69 65 20 64 72 69 76 |2&v.Charlie driv|
00001510: 65 73 00 74 77 69 63 65 20 61 73 20 66 61 73 74 |es.twice as fast|
00001520: 20 61 73 20 45 64 69 74 68 00 68 6F 75 72 00 37 | as Edith.hour.7|
00001530: 00 2A 32 00 70 65 72 73 6F 6E 00 20 60 32 26 76 |.*2.person. `2&v|
00001540: 20 5C 66 30 36 2A 20 32 27 20 20 5C 66 31 33 3D | \f06* 2' \f13=|
00001550: 20 43 27 73 20 64 69 73 74 2E 00 32 2A 32 26 76 | C's dist..2*2&v|
00001560: 00 20 60 26 76 20 5C 66 30 36 2A 20 20 20 32 27 |. `&v \f06* 2'|
00001570: 20 5C 66 31 33 3D 20 45 27 73 20 64 69 73 74 2E | \f13= E's dist.|
00001580: 00 32 2A 26 76 00 63 00 65 00 63 00 74 00 43 68 |.2*&v.c.e.c.t.Ch|
00001590: 61 72 6C 69 65 27 73 00 34 26 76 00 45 64 69 74 |arlie's.4&v.Edit|
000015A0: 68 27 73 00 32 26 76 00 31 34 34 20 6D 69 6C 65 |h's.2&v.144 mile|
000015B0: 73 00 43 68 61 72 6C 69 65 27 73 00 45 64 69 74 |s.Charlie's.Edit|
000015C0: 68 27 73 00 60 34 26 76 20 2B 20 32 26 76 20 3D |h's.`4&v + 2&v =|
000015D0: 20 31 34 34 27 00 34 26 76 2B 32 26 76 3D 31 34 | 144'.4&v+2&v=14|
000015E0: 34 00 32 34 00 26 71 48 6F 77 20 66 61 73 74 20 |4.24.&qHow fast |
000015F0: 64 6F 65 73 20 65 61 63 68 20 64 72 69 76 65 3F |does each drive?|
00001600: 26 71 00 45 64 69 74 68 00 45 64 69 74 68 00 32 |&q.Edith.Edith.2|
00001610: 34 00 32 34 00 38 00 32 34 00 43 68 61 72 6C 69 |4.24.8.24.Charli|
00001620: 65 00 32 26 76 00 43 68 61 72 6C 69 65 00 32 26 |e.2&v.Charlie.2&|
00001630: 76 00 32 26 76 20 3D 20 32 2A 32 34 00 34 38 00 |v.2&v = 2*24.48.|
00001640: 37 00 34 38 00 43 68 61 72 6C 69 65 27 73 00 34 |7.48.Charlie's.4|
00001650: 26 76 20 72 65 70 72 65 73 65 6E 74 73 20 43 68 |&v represents Ch|
00001660: 61 72 6C 69 65 27 73 20 64 69 73 74 61 6E 63 65 |arlie's distance|
00001670: 20 61 6E 64 20 34 2A 32 34 20 3D 20 60 39 36 27 | and 4*24 = `96'|
00001680: 20 6D 69 6C 65 73 2E 00 39 36 00 45 64 69 74 68 | miles..96.Edith|
00001690: 27 73 00 32 26 76 20 72 65 70 72 65 73 65 6E 74 |'s.2&v represent|
000016A0: 73 20 45 64 69 74 68 27 73 20 64 69 73 74 61 6E |s Edith's distan|
000016B0: 63 65 20 61 6E 64 20 32 2A 32 34 20 3D 20 60 34 |ce and 2*24 = `4|
000016C0: 38 27 20 6D 69 6C 65 73 2E 00 34 38 00 74 68 65 |8' miles..48.the|
000016D0: 69 72 00 31 34 34 20 6D 69 6C 65 73 00 7C 32 |ir.144 miles.|2 |
A @Q{}@DG04&D(1,U/MEAS)&C(2,{})&C(3,{})
&D(4,TOT.)&D(5,RATE)&D(10,TIME)&D(15,DIS
T.)@RREAD@PREAD THE WHOLE PROBLEM. THINK
: WHAT ARE THE FACTS? WHAT IS BEING ASKE
D? (PRESS ANY KEY TO CONTINUE)@HWHAT ARE
THE FACTS? {}@HWHAT IS BEING ASKED? &H{
}&H?@I(0)@RPLAN @PLET D{} = {} DIST. AND
D{} = {} DIST. WRITE AN EQUATION TO REL
ATE D{}, D{} AND TOTAL DIST.@HTHEY {} TO
WARDS EACH OTHER UNTIL THEY MEET. THE SU
M OF THEIR DISTANCES IS THE TOTAL DISTAN
CE.@H{} SHOWS THAT {}@I(20,C0, )@PONE AN
SWER IS {}. CHANGE YOUR ANSWER IF IT IS
NOT EQUIVALENT. (PRESS RETURN)@HTHEY {}
TOWARDS EACH OTHER UNTIL THEY MEET. THE
SUM OF THEIR DISTANCES IS THE TOTAL DIST
ANCE.@H{} SHOWS THAT {}@I(20,C0, )@RDATA
ENTRY@PFILL IN THE UNITS BY WHICH RATE,
TIME AND DISTANCE ARE MEASURED. (USE AB
BREVIATED FORM).@HRATE OF SPEED IS COMMO
NLY MEASURED IN MILES PER HOUR (MI/HR),
METERS PER MINUTE (M/MIN), ETC.@HTHE RAT
E OF SPEED IN THIS PROBLEM IS MEASURED I
N {}.@I(6,C{},{})@HTIME IS COMMONLY MEAS
URED IN SECONDS(SEC), MINUTES(MIN), HOUR
S(HR), DAYS(DA), ETC.@HTIME IN THIS PROB
LEM IS MEASURED IN {}.@I(11,C{},{})@HDIS
TANCE IS COMMONLY MEASURED IN FEET(FT),
YARDS(YD), METERS(M), MILES(MI), KILOMET
ERS(KM), ETC.@HDISTANCE IN THIS PROBLEM
IS MEASURED IN {}.@I(16,C{},{})@PENTER T
HE FACTS FROM THE PROBLEM INTO THE GRID.
@H{}@HTHE TIME FOR {}@I(12,{},{})@HTHE T
IME FOR {} IS THE SAME AS THE TIME FOR {
}.@HTHE TIME FOR {} IS ALSO {}.@I(13,{},
{})@H{}@HTHE TOTAL DISTANCE IS {}@I(19,I
,{})@PCHOOSE A VARIABLE TO REPRESENT THE
RATE OF SPEED FOR EACH {}.@HUSE A VARIA
BLE TO REPRESENT THE SLOWER SPEED. IN TH
IS CASE, {}@HUSE A LETTER SUCH AS '{}' T
O REPRESENT {} RATE OF SPEED.@I({},I,&V)
@HREPRESENT {} RATE IN TERMS OF "&V" ({}
) RATE. {}@H`{}' SHOWS THAT {} {} EACH {
}.@I({},I,&V{})@RPARTS@PWRITE AN EXPRESS
ION TO REPRESENT THE DISTANCE TRAVELLED
BY EACH {}.@HRATE * TIME = DISTANCE@HRAT
E \F08* TIME \F15= DISTANCE \N{}@I(17,I
,{})@HRATE * TIME = DISTANCE@HRATE \F06
* TIME \F13= DISTANCE \N{}@I(18,I,{})&D
(20, )@RWHOLE@PSUBSTITUTE YOUR EXPRESSIO
NS FOR D{} AND D{} IN THE EQUATION : D{}
+D{}= TOTAL.@H{} DISTANCE = {}, {} DISTA
NCE = {} AND TOTAL = {}.@H{} DIST.+{} DI
ST. = TOTAL DIST. \N{}@I(20,I,{})@S@RCOM
PUTE@PSOLVE THE EQUATION FOR "&V". USE P
APER AND PENCIL AND ENTER THE FINAL EQUA
TION, OR USE THE CALCULATOR.@HISOLATE "&
V" ON ONE SIDE OF THE EQUATION.@HTHE CAL
CULATOR SOLVES EQUATIONS FOR YOU AND DIS
PLAYS THE STEPS IN THE SOLUTION.@I(20,I,
&V={})@PENTER YOUR ANSWERS TO THE PROBLE
M IN THE CHART. REMEMBER THE QUESTION. {
}&W(20)@HTHE RATE OF SPEED FOR {} IS THE
VALUE OF "&V".@HTHE RATE OF SPEED FOR {
} IS THE VALUE OF "&V". &V = {}, SO ENTE
R `{}'.@I({},I,{})@S&W(20)@HTHE RATE OF
SPEED FOR {} IS THE VALUE OF {}.@HTHE RA
TE OF SPEED FOR {} IS THE VALUE OF {}. {
}, SO ENTER `{}'.@I({},I,{})@S@RCHECK@PR
EREAD THE QUESTION. CHECK YOUR ANSWERS.
EVALUATE THE REMAINING EXPRESSIONS IN TH
E CHART.@HSUBSTITUTE FOR "&V" IN THE EXP
RESSION FOR {} DISTANCE. THEN CALCULATE
THE RESULT.@H{}@I(17,I,{})@HSUBSTITUTE F
OR "&V" IN THE EXPRESSION FOR {} DISTANC
E. THEN CALCULATE THE RESULT.@H{}@I(18,I
,{})&D(0,CHECK YOUR WORK. THE SUM OF {}
DISTANCES SHOULD BE {}. GET READY FOR A
NEW PROBLEM.)@FEASTBOUND PLANES TO ROME
USUALLY GO 60 MI/HR FASTER THAN WESTBOUN
D PLANES TO NEW YORK. IF THE TRIP IS 450
0 MI. AND THE EASTBOUND AND WESTBOUND PL
ANES PASS AFTER 5 HRS, HOW FAST DO THEY
EACH FLY?.EAST.WEST.TWO PLANES LEAVING A
T THE SAME TIME FLY TOWARDS EACH OTHER A
T DIFFERENT RATES..HOW FAST DO THEY EACH
FLY.E.EAST'S.W.WEST'S.E.W.FLY.`DE+DW =
TOTAL'.THE SUM OF THEIR DISTANCES IS EQU
AL TO THE TOTAL DISTANCE..DE+DW = TOTAL.
FLY.`DE+DW = TOTAL'.THE SUM OF THEIR DIS
TANCES IS EQUAL TO THE TOTAL DISTANCE..`
MI/HR'.4.MI/HR.HOURS (`HR').2.HR.MILES (
`MI').2.MI.BOTH PLANES WILL FLY FOR &H5
HRS&H BEFORE THEY PASS EACH OTHER..THE E
ASTBOUND PLANE IS `5' HOURS..I.5.THE WES
TBOUND PLANE.THE EASTBOUND PLANE.WEST.`5
' HOURS.I.5.&HTHE TRIP IS 4500 MI&H..`45
00' MILES..4500.PLANE.THE WESTBOUND PLAN
E IS SLOWER..W.WEST'S.8.EAST'S.WEST'S.EA
STBOUND PLANES GO &H60 MI/HR FASTER&H TH
AN WESTBOUND PLANES..&V+60.EAST FLIES 60
MILES.FURTHER THAN WEST.HOUR.7.+60.PLAN
E.`(&V+60) \F08* 5' \F15= EAST'S DIST..5
(&V+60).`&V \F06* 5' \F13= WEST'S DIS
T..5&V.E.W.E.W.EAST'S.5(&V+60).WEST'S.5&
V.4500.EAST'S.WEST'S.`5(&V+60) + 5&V = 4
500'.5(&V+60)+5&V=4500.420.&QHOW FAST DO
THEY EACH FLY?&Q.THE WESTBOUND PLANE.WE
ST.420.420.8.420.THE EASTBOUND PLANE.&V+
60.EAST.&V+60.&V+60 = 420+60 = `480'.480
.7.480.EAST'S.&V = 420, SO 5(&V+60) = 5(
480) = `2400'..2400.WEST'S.&V = 420, SO
5&V = 5*420 = `2100'..2100.THEIR.4500.@F
CHARLIE DRIVES TWICE AS FAST AS EDITH. I
F THEY LEAVE THEIR HOUSES (144 MILES APA
RT) AT THE SAME TIME AND DRIVE TOWARDS E
ACH OTHER, THEY MEET AFTER 2 HOURS. HOW
FAST DOES EACH DRIVE?.CHARLIE.EDITH.THEY
DRIVE TOWARDS EACH OTHER AT DIFFERENT R
ATES FOR 2 HOURS UNTIL THEY MEET..HOW FA
ST DOES EACH DRIVE.C.CHARLIE'S.E.EDITH'S
.C.E.DRIVE.`DC+DE = TOTAL'.THE SUM OF TH
EIR DISTANCES IS EQUAL TO THE TOTAL DIST
ANCE..`DC+DE = TOTAL'.DRIVE.`DC+DE = TOT
AL'.THE SUM OF THEIR DISTANCES IS EQUAL
TO THE TOTAL DISTANCE..MILES PER HOUR (`
MI/HR').4.MI/HR.HOURS (`HR').2.HR.MILES
(`MI').2.MI.BOTH OF THEM DRIVE FOR &H2 H
OURS&H..CHARLIE IS `2' HOURS..I.2.EDITH.
CHARLIE.EDITH.`2' HOURS.I.2.THE TOTAL DI
STANCE BETWEEN THEIR HOUSES IS &H144 MIL
ES&H..`144' MILES..144.PERSON.EDITH DRIV
ES SLOWER THAN CHARLIE..E.EDITH'S.8.CHAR
LIE'S.EDITH'S.&QCHARLIE DRIVES TWICE AS
FAST AS EDITH&Q.2&V.CHARLIE DRIVES.TWICE
AS FAST AS EDITH.HOUR.7.*2.PERSON. `2&V
\F06* 2' \F13= C'S DIST..2*2&V. `&V \F
06* 2' \F13= E'S DIST..2*&V.C.E.C.T.CH
ARLIE'S.4&V.EDITH'S.2&V.144 MILES.CHARLI
E'S.EDITH'S.`4&V + 2&V = 144'.4&V+2&V=14
4.24.&QHOW FAST DOES EACH DRIVE?&Q.EDITH
.EDITH.24.24.8.24.CHARLIE.2&V.CHARLIE.2&
V.2&V = 2*24.48.7.48.CHARLIE'S.4&V REPRE
SENTS CHARLIE'S DISTANCE AND 4*24 = `96'
MILES..96.EDITH'S.2&V REPRESENTS EDITH'
S DISTANCE AND 2*24 = `48' MILES..48.THE
IR.144 MILES.|2
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