DIST6L4
FILE INFORMATION
FILENAME(S): DIST6L4
FILE TYPE(S): PRG
FILE SIZE: 7.8K
FIRST SEEN: 2025-10-19 22:48:55
APPEARS ON: 1 disk(s)
FILE HASH
1fe892db28dd974577afeae0672d87675cc5a9383eea8ceda0036cc1ffc831fd
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 43S1 | DIST6L4 | PRG | Radd Maxx | 10 | 0 | 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 |
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000009E0: 2E 29 40 66 41 74 20 32 20 50 4D 20 5A 61 63 68 |.)@fAt 2 PM Zach|
000009F0: 20 73 74 61 72 74 65 64 20 64 72 69 76 69 6E 67 | started driving|
00000A00: 20 33 35 20 6B 6D 2F 68 72 20 75 6E 74 69 6C 20 | 35 km/hr until |
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00000A60: 75 63 68 20 74 69 6D 65 20 64 69 64 20 68 65 20 |uch time did he |
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00000AA0: 63 65 20 61 74 20 6F 6E 65 20 72 61 74 65 20 61 |ce at one rate a|
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00000AD0: 20 61 74 20 61 6E 6F 74 68 65 72 20 72 61 74 65 | at another rate|
00000AE0: 2E 00 26 68 48 6F 77 20 6D 75 63 68 20 74 69 6D |..&hHow much tim|
00000AF0: 65 20 64 69 64 20 68 65 20 73 70 65 6E 64 20 77 |e did he spend w|
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00000B30: 63 65 20 5A 61 63 68 20 77 61 6C 6B 65 64 00 64 |ce Zach walked.d|
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00000B60: 68 61 74 20 68 65 20 64 72 6F 76 65 2E 00 48 65 |hat he drove..He|
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00000BD0: 20 60 44 64 3D 44 77 27 2E 00 44 64 3D 44 77 00 | `Dd=Dw'..Dd=Dw.|
00000BE0: 48 65 20 77 61 6C 6B 65 64 20 74 68 65 20 73 61 |He walked the sa|
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00000C30: 74 20 77 68 65 72 65 20 74 68 65 20 63 61 72 20 |t where the car |
00000C40: 72 61 6E 20 6F 75 74 20 6F 66 20 67 61 73 20 61 |ran out of gas a|
00000C50: 6E 64 20 74 68 65 6E 20 77 61 6C 6B 65 64 20 62 |nd then walked b|
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00000C80: 73 20 70 65 72 20 68 6F 75 72 20 28 60 6B 6D 2F |s per hour (`km/|
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00000CA0: 72 73 20 28 60 68 72 27 29 00 32 00 68 72 00 6B |rs (`hr').2.hr.k|
00000CB0: 69 6C 6F 6D 65 74 65 72 73 20 28 60 6B 6D 27 29 |ilometers (`km')|
00000CC0: 00 32 00 6B 6D 00 48 65 20 64 72 6F 76 65 20 61 |.2.km.He drove a|
00000CD0: 74 20 61 20 72 61 74 65 20 6F 66 20 26 68 33 35 |t a rate of &h35|
00000CE0: 20 6B 6D 2F 68 72 26 68 2E 00 5A 61 63 68 27 73 | km/hr&h..Zach's|
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00000D00: 20 60 33 35 27 20 6B 6D 2F 68 72 2E 00 33 35 00 | `35' km/hr..35.|
00000D10: 48 65 20 77 61 6C 6B 65 64 20 61 74 20 61 20 72 |He walked at a r|
00000D20: 61 74 65 20 6F 66 20 26 68 35 20 6B 6D 2F 68 72 |ate of &h5 km/hr|
00000D30: 26 68 2E 00 5A 61 63 68 27 73 20 77 61 6C 6B 69 |&h..Zach's walki|
00000D40: 6E 67 20 72 61 74 65 20 69 73 20 60 35 27 20 6B |ng rate is `5' k|
00000D50: 6D 2F 68 72 2E 00 35 00 5A 61 63 68 20 73 74 61 |m/hr..5.Zach sta|
00000D60: 72 74 65 64 20 61 74 20 32 20 50 4D 20 61 6E 64 |rted at 2 PM and|
00000D70: 20 73 74 6F 70 70 65 64 20 61 74 20 34 20 50 4D | stopped at 4 PM|
00000D80: 2E 00 46 72 6F 6D 20 32 20 50 4D 20 74 6F 20 34 |..From 2 PM to 4|
00000D90: 20 50 4D 20 69 73 20 32 20 68 6F 75 72 73 2C 20 | PM is 2 hours, |
00000DA0: 73 6F 20 74 68 65 20 74 6F 74 61 6C 20 74 69 6D |so the total tim|
00000DB0: 65 20 69 73 20 60 32 27 20 68 6F 75 72 73 2E 00 |e is `2' hours..|
00000DC0: 32 00 74 72 61 76 65 6C 6C 65 64 20 61 74 20 35 |2.travelled at 5|
00000DD0: 20 6B 6D 2F 68 72 20 73 69 6E 63 65 20 74 68 61 | km/hr since tha|
00000DE0: 74 20 69 73 20 77 68 61 74 20 69 73 20 62 65 69 |t is what is bei|
00000DF0: 6E 67 20 61 73 6B 65 64 00 77 00 68 6F 75 72 73 |ng asked.w.hours|
00000E00: 20 68 65 20 77 61 6C 6B 65 64 00 31 33 00 68 65 | he walked.13.he|
00000E10: 20 64 72 6F 76 65 00 68 65 20 77 61 6C 6B 65 64 | drove.he walked|
00000E20: 00 48 65 20 77 61 73 20 67 6F 6E 65 20 66 6F 72 |.He was gone for|
00000E30: 20 61 20 74 6F 74 61 6C 20 6F 66 20 32 20 68 72 | a total of 2 hr|
00000E40: 73 2E 20 46 6F 72 20 22 26 76 22 20 68 72 73 2C |s. For "&v" hrs,|
00000E50: 20 68 65 20 77 61 6C 6B 65 64 2E 20 46 6F 72 20 | he walked. For |
00000E60: 74 68 65 20 72 65 6D 61 69 6E 69 6E 67 20 74 69 |the remaining ti|
00000E70: 6D 65 2C 20 60 32 2D 26 76 27 2C 20 68 65 20 64 |me, `2-&v', he d|
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00000E90: 76 27 2E 00 31 32 00 32 2D 26 76 00 60 33 35 20 |v'..12.2-&v.`35 |
00000EA0: 20 5C 66 30 36 2A 20 20 5C 66 30 38 28 32 2D 26 | \f06* \f08(2-&|
00000EB0: 76 29 27 20 5C 66 31 36 3D 20 44 72 69 76 69 6E |v)' \f16= Drivin|
00000EC0: 67 20 64 69 73 74 61 6E 63 65 00 33 35 28 32 2D |g distance.35(2-|
00000ED0: 26 76 29 00 60 35 20 20 20 5C 66 30 36 2A 20 20 |&v).`5 \f06* |
00000EE0: 5C 66 30 38 20 20 26 76 27 20 20 5C 66 31 36 3D |\f08 &v' \f16=|
00000EF0: 20 57 61 6C 6B 69 6E 67 20 64 69 73 74 61 6E 63 | Walking distanc|
00000F00: 65 00 35 26 76 00 44 64 00 44 77 00 64 00 77 00 |e.5&v.Dd.Dw.d.w.|
00000F10: 64 00 33 35 28 32 2D 26 76 29 00 77 00 35 26 76 |d.35(2-&v).w.5&v|
00000F20: 00 60 33 35 28 32 2D 26 76 29 20 3D 20 35 26 76 |.`35(2-&v) = 5&v|
00000F30: 27 20 73 68 6F 77 73 20 74 68 61 74 20 68 65 20 |' shows that he |
00000F40: 64 72 6F 76 65 20 74 68 65 20 73 61 6D 65 20 64 |drove the same d|
00000F50: 69 73 74 61 6E 63 65 20 61 73 20 68 65 20 77 61 |istance as he wa|
00000F60: 6C 6B 65 64 2E 00 33 35 28 32 2D 26 76 29 3D 35 |lked..35(2-&v)=5|
00000F70: 26 76 00 31 2E 37 35 00 48 6F 77 20 6D 75 63 68 |&v.1.75.How much|
00000F80: 20 74 69 6D 65 20 64 69 64 20 68 65 20 73 70 65 | time did he spe|
00000F90: 6E 64 20 77 61 6C 6B 69 6E 67 3F 00 74 69 6D 65 |nd walking?.time|
00000FA0: 20 73 70 65 6E 74 20 77 61 6C 6B 69 6E 67 20 69 | spent walking i|
00000FB0: 73 20 74 68 65 20 76 61 6C 75 65 20 6F 66 20 22 |s the value of "|
00000FC0: 26 76 22 00 74 69 6D 65 20 73 70 65 6E 74 20 77 |&v".time spent w|
00000FD0: 61 6C 6B 69 6E 67 20 69 73 20 74 68 65 20 76 61 |alking is the va|
00000FE0: 6C 75 65 20 6F 66 20 22 26 76 22 2E 20 26 76 20 |lue of "&v". &v |
00000FF0: 3D 20 60 31 2E 37 35 27 00 31 33 00 31 2E 37 35 |= `1.75'.13.1.75|
00001000: 00 74 68 65 20 74 69 6D 65 20 73 70 65 6E 74 20 |.the time spent |
00001010: 64 72 69 76 69 6E 67 00 60 32 2D 26 76 27 20 72 |driving.`2-&v' r|
00001020: 65 70 72 65 73 65 6E 74 73 20 74 68 65 20 64 72 |epresents the dr|
00001030: 69 76 69 6E 67 20 74 69 6D 65 2E 20 32 20 2D 20 |iving time. 2 - |
00001040: 31 2E 37 35 20 3D 20 2E 32 35 2C 20 73 6F 20 65 |1.75 = .25, so e|
00001050: 6E 74 65 72 20 60 2E 32 35 20 68 72 27 00 31 32 |nter `.25 hr'.12|
00001060: 00 2E 32 35 00 74 68 65 20 64 72 69 76 69 6E 67 |..25.the driving|
00001070: 20 64 69 73 74 61 6E 63 65 00 33 38 28 32 2D 26 | distance.38(2-&|
00001080: 76 29 20 72 65 70 72 65 73 65 6E 74 73 20 74 68 |v) represents th|
00001090: 65 20 64 72 69 76 69 6E 67 20 64 69 73 74 61 6E |e driving distan|
000010A0: 63 65 2E 20 33 35 28 32 2D 31 2E 37 35 29 20 3D |ce. 35(2-1.75) =|
000010B0: 20 33 35 20 2A 20 2E 32 35 20 3D 20 38 2E 37 35 | 35 * .25 = 8.75|
000010C0: 20 5C 6E 53 6F 20 65 6E 74 65 72 20 60 38 2E 37 | \nSo enter `8.7|
000010D0: 35 27 2E 00 31 37 00 38 2E 37 35 00 74 68 65 20 |5'..17.8.75.the |
000010E0: 77 61 6C 6B 69 6E 67 00 35 26 76 20 72 65 70 72 |walking.5&v repr|
000010F0: 65 73 65 6E 74 73 20 74 68 65 20 77 61 6C 6B 69 |esents the walki|
00001100: 6E 67 20 64 69 73 74 61 6E 63 65 2E 20 35 20 2A |ng distance. 5 *|
00001110: 20 31 2E 37 35 20 3D 20 38 2E 37 35 2C 20 73 6F | 1.75 = 8.75, so|
00001120: 20 65 6E 74 65 72 20 60 38 2E 37 35 27 00 31 38 | enter `8.75'.18|
00001130: 00 38 2E 37 35 00 64 72 69 76 69 6E 67 00 74 68 |.8.75.driving.th|
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00001150: 77 61 6E 74 73 20 74 6F 20 73 70 65 6E 64 20 31 |wants to spend 1|
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000011D0: 20 74 6F 20 6C 65 61 76 65 20 68 69 6D 73 65 6C | to leave himsel|
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00001200: 44 6F 77 6E 00 55 70 00 52 6F 6E 20 74 72 61 76 |Down.Up.Ron trav|
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00001230: 64 20 74 68 65 20 73 61 6D 65 20 64 69 73 74 61 |d the same dista|
00001240: 6E 63 65 20 61 74 20 61 6E 6F 74 68 65 72 20 72 |nce at another r|
00001250: 61 74 65 2E 00 26 68 48 6F 77 20 66 61 72 20 63 |ate..&hHow far c|
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00001280: 72 65 61 6D 20 64 69 73 74 61 6E 63 65 00 75 00 |ream distance.u.|
00001290: 75 70 73 74 72 65 61 6D 20 64 69 73 74 61 6E 63 |upstream distanc|
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000012C0: 73 74 61 6E 63 65 20 75 70 73 74 72 65 61 6D 20 |stance upstream |
000012D0: 61 6E 64 20 64 6F 77 6E 73 74 72 65 61 6D 2E 00 |and downstream..|
000012E0: 53 69 6E 63 65 20 68 65 20 77 69 6C 6C 20 74 72 |Since he will tr|
000012F0: 61 76 65 6C 20 74 68 65 20 73 61 6D 65 20 64 69 |avel the same di|
00001300: 73 74 61 6E 63 65 20 69 6E 20 62 6F 74 68 20 64 |stance in both d|
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00001320: 20 44 75 27 2E 00 44 64 20 3D 20 44 75 00 48 65 | Du'..Dd = Du.He|
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00001350: 70 73 74 72 65 61 6D 20 61 6E 64 20 64 6F 77 6E |pstream and down|
00001360: 73 74 72 65 61 6D 2E 00 53 69 6E 63 65 20 68 65 |stream..Since he|
00001370: 20 77 69 6C 6C 20 74 72 61 76 65 6C 20 74 68 65 | will travel the|
00001380: 20 73 61 6D 65 20 64 69 73 74 61 6E 63 65 20 69 | same distance i|
00001390: 6E 20 62 6F 74 68 20 64 69 72 65 63 74 69 6F 6E |n both direction|
000013A0: 73 2C 20 60 44 64 20 3D 20 44 75 27 2E 00 6D 69 |s, `Dd = Du'..mi|
000013B0: 6C 65 73 20 70 65 72 20 68 6F 75 72 20 28 60 6D |les per hour (`m|
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000013D0: 6F 75 72 73 20 28 60 68 72 27 29 00 32 00 68 72 |ours (`hr').2.hr|
000013E0: 00 6D 69 6C 65 73 20 28 60 6D 69 27 29 00 32 00 |.miles (`mi').2.|
000013F0: 6D 69 00 26 68 48 65 20 63 61 6E 20 72 6F 77 20 |mi.&hHe can row |
00001400: 36 20 6D 69 2F 68 72 20 64 6F 77 6E 73 74 72 65 |6 mi/hr downstre|
00001410: 61 6D 26 68 2E 00 52 6F 6E 60 73 20 64 6F 77 6E |am&h..Ron`s down|
00001420: 73 74 72 65 61 6D 20 72 61 74 65 20 69 73 20 60 |stream rate is `|
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00001440: 6F 77 73 20 26 68 32 20 6D 69 2F 68 72 20 75 70 |ows &h2 mi/hr up|
00001450: 73 74 72 65 61 6D 26 68 2E 00 52 6F 6E 27 73 20 |stream&h..Ron's |
00001460: 75 70 73 74 72 65 61 6D 20 72 61 74 65 20 69 73 |upstream rate is|
00001470: 20 60 32 27 20 6D 69 2F 68 72 2E 00 32 00 26 68 | `2' mi/hr..2.&h|
00001480: 52 6F 6E 20 77 61 6E 74 73 20 74 6F 20 73 70 65 |Ron wants to spe|
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000014A0: 26 68 2E 00 52 6F 6E 27 73 20 74 6F 74 61 6C 20 |&h..Ron's total |
000014B0: 74 69 6D 65 20 69 73 20 60 31 27 20 68 6F 75 72 |time is `1' hour|
000014C0: 2E 00 31 00 74 72 61 76 65 6C 6C 65 64 20 61 74 |..1.travelled at|
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000014E0: 68 61 74 20 69 73 20 77 68 61 74 20 69 73 20 62 |hat is what is b|
000014F0: 65 69 6E 67 20 61 73 6B 65 64 00 64 00 68 6F 75 |eing asked.d.hou|
00001500: 72 73 20 73 70 65 6E 74 20 72 6F 77 69 6E 67 20 |rs spent rowing |
00001510: 64 6F 77 6E 73 74 72 65 61 6D 00 31 32 00 73 70 |downstream.12.sp|
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00001560: 74 69 6D 65 20 69 73 20 31 20 68 72 2C 20 74 68 |time is 1 hr, th|
00001570: 65 20 74 69 6D 65 20 73 70 65 6E 74 20 72 6F 77 |e time spent row|
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00001590: 60 31 2D 26 76 27 2E 00 31 33 00 31 2D 26 76 00 |`1-&v'..13.1-&v.|
000015A0: 20 60 36 20 20 5C 66 30 36 2A 20 20 5C 66 30 38 | `6 \f06* \f08|
000015B0: 20 20 26 76 27 20 20 20 5C 66 31 36 3D 20 44 6F | &v' \f16= Do|
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000015D0: 65 00 36 26 76 00 20 60 32 20 20 5C 66 30 36 2A |e.6&v. `2 \f06*|
000015E0: 20 20 5C 66 30 38 28 31 2D 26 76 29 27 5C 66 31 | \f08(1-&v)'\f1|
000015F0: 36 3D 20 55 70 73 74 72 65 61 6D 20 64 69 73 74 |6= Upstream dist|
00001600: 61 6E 63 65 00 32 28 31 2D 26 76 29 00 44 64 00 |ance.2(1-&v).Dd.|
00001610: 44 75 00 64 00 75 00 64 00 36 26 76 00 75 00 32 |Du.d.u.d.6&v.u.2|
00001620: 28 31 2D 26 76 29 00 60 36 26 76 20 3D 20 32 28 |(1-&v).`6&v = 2(|
00001630: 31 2D 26 76 29 27 20 73 68 6F 77 73 20 74 68 61 |1-&v)' shows tha|
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00001660: 6E 73 74 72 65 61 6D 20 74 68 61 74 20 68 65 20 |nstream that he |
00001670: 72 6F 77 65 64 20 75 70 73 74 72 65 61 6D 2E 00 |rowed upstream..|
00001680: 36 26 76 3D 32 28 31 2D 26 76 29 00 2E 32 35 00 |6&v=2(1-&v)..25.|
00001690: 48 6F 77 20 66 61 72 20 63 61 6E 20 68 65 20 72 |How far can he r|
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000016B0: 77 6E 73 74 72 65 61 6D 20 64 69 73 74 61 6E 63 |wnstream distanc|
000016C0: 65 20 69 73 20 74 68 65 20 76 61 6C 75 65 20 6F |e is the value o|
000016D0: 66 20 22 36 26 76 22 00 64 6F 77 6E 73 74 72 65 |f "6&v".downstre|
000016E0: 61 6D 20 64 69 73 74 61 6E 63 65 20 69 73 20 74 |am distance is t|
000016F0: 68 65 20 76 61 6C 75 65 20 6F 66 20 22 36 26 76 |he value of "6&v|
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00001720: 60 31 2E 35 27 00 31 37 00 31 2E 35 00 74 69 6D |`1.5'.17.1.5.tim|
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00001800: 3D 20 32 20 2A 20 2E 37 35 20 3D 20 60 31 2E 35 |= 2 * .75 = `1.5|
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00001850: 68 6F 75 73 65 20 61 74 20 31 32 30 20 79 64 2F |house at 120 yd/|
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00001920: 20 68 69 73 20 72 61 74 65 73 20 77 65 72 65 20 | his rates were |
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00001A20: 73 68 6F 77 73 20 74 68 61 74 20 68 65 20 77 61 |shows that he wa|
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00001AF0: 30 00 48 65 20 72 6F 64 65 20 61 74 20 26 68 36 |0.He rode at &h6|
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00001B10: 6F 6E 27 73 20 72 69 64 69 6E 67 20 72 61 74 65 |on's riding rate|
00001B20: 20 77 61 73 20 60 36 30 30 27 20 79 61 72 64 73 | was `600' yards|
00001B30: 20 70 65 72 20 6D 69 6E 75 74 65 2E 00 36 30 30 | per minute..600|
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00001B70: 77 61 73 20 32 20 68 6F 75 72 73 26 68 2E 20 28 |was 2 hours&h. (|
00001B80: 52 65 6D 65 6D 62 65 72 20 74 69 6D 65 20 69 73 |Remember time is|
00001B90: 20 62 65 69 6E 67 20 6D 65 61 73 75 72 65 64 20 | being measured |
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00001BC0: 32 20 68 6F 75 72 73 2C 20 77 68 69 63 68 20 65 |2 hours, which e|
00001BD0: 71 75 61 6C 73 20 60 31 32 30 27 20 6D 69 6E 75 |quals `120' minu|
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00001C10: 20 74 6F 20 77 61 6C 6B 69 6E 67 00 77 00 6D 69 | to walking.w.mi|
00001C20: 6E 75 74 65 73 20 68 65 20 73 70 65 6E 74 20 77 |nutes he spent w|
00001C30: 61 6C 6B 69 6E 67 00 31 32 00 73 70 65 6E 74 20 |alking.12.spent |
00001C40: 72 69 64 69 6E 67 00 73 70 65 6E 74 20 77 61 6C |riding.spent wal|
00001C50: 6B 69 6E 67 00 48 65 20 77 61 73 20 6F 75 74 20 |king.He was out |
00001C60: 66 6F 72 20 61 20 74 6F 74 61 6C 20 6F 66 20 31 |for a total of 1|
00001C70: 32 30 20 6D 69 6E 75 74 65 73 20 61 6E 64 20 68 |20 minutes and h|
00001C80: 65 20 77 61 73 20 77 61 6C 6B 69 6E 67 20 66 6F |e was walking fo|
00001C90: 72 20 26 76 20 6D 69 6E 75 74 65 73 2E 20 53 6F |r &v minutes. So|
00001CA0: 20 68 65 20 77 61 73 20 72 69 64 69 6E 67 20 66 | he was riding f|
00001CB0: 6F 72 20 60 31 32 30 2D 26 76 27 20 6D 69 6E 2E |or `120-&v' min.|
00001CC0: 00 31 33 00 31 32 30 2D 26 76 00 60 31 32 30 20 |.13.120-&v.`120 |
00001CD0: 5C 66 30 36 2A 20 20 26 76 27 20 20 5C 66 31 36 |\f06* &v' \f16|
00001CE0: 3D 20 57 61 6C 6B 69 6E 67 20 44 69 73 74 2E 00 |= Walking Dist..|
00001CF0: 31 32 30 26 76 00 60 36 30 30 20 5C 66 30 36 2A |120&v.`600 \f06*|
00001D00: 20 5C 66 30 38 28 31 32 30 2D 26 76 29 27 20 5C | \f08(120-&v)' \|
00001D10: 66 31 36 3D 20 52 69 64 69 6E 67 20 44 69 73 74 |f16= Riding Dist|
00001D20: 2E 00 36 30 30 28 31 32 30 2D 26 76 29 00 44 77 |..600(120-&v).Dw|
00001D30: 00 44 72 00 77 00 64 00 77 00 31 32 30 26 76 00 |.Dr.w.d.w.120&v.|
00001D40: 72 00 36 30 30 28 31 32 30 2D 26 76 29 00 60 31 |r.600(120-&v).`1|
00001D50: 32 30 26 76 20 3D 20 36 30 30 28 31 32 30 2D 26 |20&v = 600(120-&|
00001D60: 76 29 27 00 31 32 30 26 76 3D 36 30 30 28 31 32 |v)'.120&v=600(12|
00001D70: 30 2D 26 76 29 00 31 30 30 00 48 6F 77 20 66 61 |0-&v).100.How fa|
00001D80: 72 20 64 69 64 20 68 65 20 77 61 6C 6B 3F 00 57 |r did he walk?.W|
00001D90: 61 6C 6B 69 6E 67 20 64 69 73 74 61 6E 63 65 20 |alking distance |
00001DA0: 69 73 20 31 32 30 26 76 2C 20 61 6E 64 20 26 76 |is 120&v, and &v|
00001DB0: 20 3D 20 31 30 30 2E 00 57 61 6C 6B 69 6E 67 20 | = 100..Walking |
00001DC0: 64 69 73 74 61 6E 63 65 20 69 73 20 31 32 30 26 |distance is 120&|
00001DD0: 76 2E 20 26 76 20 2D 20 31 30 30 2C 20 73 6F 20 |v. &v - 100, so |
00001DE0: 31 32 30 26 76 20 3D 20 31 32 30 20 2A 20 31 30 |120&v = 120 * 10|
00001DF0: 30 20 3D 20 60 31 32 2C 30 30 30 27 20 79 61 72 |0 = `12,000' yar|
00001E00: 64 73 00 31 37 00 31 32 30 30 30 00 68 69 73 20 |ds.17.12000.his |
00001E10: 77 61 6C 6B 69 6E 67 20 74 69 6D 65 00 26 76 20 |walking time.&v |
00001E20: 3D 20 31 30 30 2C 20 73 6F 20 68 65 20 77 61 6C |= 100, so he wal|
00001E30: 6B 65 64 20 66 6F 72 20 60 31 30 30 27 20 6D 69 |ked for `100' mi|
00001E40: 6E 75 74 65 73 2E 00 31 32 00 31 30 30 00 68 69 |nutes..12.100.hi|
00001E50: 73 20 72 69 64 69 6E 67 20 74 69 6D 65 00 26 76 |s riding time.&v|
00001E60: 20 3D 20 31 30 30 2C 20 61 6E 64 20 31 32 30 2D | = 100, and 120-|
00001E70: 26 76 20 72 65 70 72 65 73 65 6E 74 73 20 68 69 |&v represents hi|
00001E80: 73 20 72 69 64 69 6E 67 20 74 69 6D 65 2C 20 73 |s riding time, s|
00001E90: 6F 20 68 65 20 72 6F 64 65 20 66 6F 72 20 60 32 |o he rode for `2|
00001EA0: 30 27 20 6D 69 6E 75 74 65 73 2E 00 31 33 00 32 |0' minutes..13.2|
00001EB0: 30 00 68 69 73 20 72 69 64 69 6E 67 00 26 76 20 |0.his riding.&v |
00001EC0: 3D 31 30 30 2C 20 61 6E 64 20 36 30 30 28 31 32 |=100, and 600(12|
00001ED0: 30 2D 26 76 29 20 69 73 20 68 69 73 20 72 69 64 |0-&v) is his rid|
00001EE0: 69 6E 67 20 64 69 73 74 61 6E 63 65 2C 20 73 6F |ing distance, so|
00001EF0: 20 68 65 20 72 6F 64 65 20 66 6F 72 20 36 30 30 | he rode for 600|
00001F00: 2A 32 30 2C 20 6F 72 20 60 31 32 2C 30 30 30 27 |*20, or `12,000'|
00001F10: 20 79 61 72 64 73 2E 00 31 38 00 31 32 30 30 30 | yards..18.12000|
00001F20: 00 77 61 6C 6B 69 6E 67 00 74 68 65 20 72 69 64 |.walking.the rid|
00001F30: 69 6E 67 00 7C 64 |ing.|d |
A @Q{}@DG04&D(1,U/MEAS)&C(2,{})&C(3,{})
&C(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 AR
E THE FACTS? {}@HWHAT IS BEING ASKED? {}
@I(0)@RPLAN @PLET D{} = {} AND D{} = {}.
WRITE AN EQUATION THAT RELATES D{} TO D
{}.@H{}@H{}@I(20,C0, )@PONE ANSWER IS {}
. CHANGE YOUR ANSWER IF IT IS NOT EQUIVA
LENT. (PRESS RETURN)@H{}@H{}@I(20,C0, )@
RDATA ENTRY@PFILL IN THE UNITS BY WHICH
RATE, TIME AND DISTANCE ARE MEASURED. (U
SE ABBREVIATED FORM).@HRATE OF SPEED IS
COMMONLY MEASURED IN MILES PER HOUR(MI/H
R), METERS PER MINUTE(M/MIN), ETC.@HTHE
RATE OF SPEED IS MEASURED IN {}.@I(6,C{}
,{})@HTIME IS COMMONLY MEASURED IS SECON
DS(SEC), MINUTES(MIN), HOURS(HR), DAYS(D
A), ETC.@HTIME IN THIS PROBLEM IS MEASUR
ED IN {}.@I(11,C{},{})@HDISTANCE IS COMM
ONLY MEASURED IN FEET(FT), YARDS(YD), MI
LES(MI), METERS(M), KILOMETERS(KM), ETC.
@HDISTANCE IN THIS PROBLEM IS MEASURED I
N {}.@I(16,C{},{})@PENTER THE FACTS FROM
THE PROBLEM INTO THE GRID.@H{}@H{}@I(7,
I,{})@H{}@H{}@I(8,I,{})@H{}@H{}@I(14,I,{
})@PCHOOSE A VARIABLE TO REPRESENT THE T
IME TRAVELLED AT EACH RATE.@HUSE A VARIA
BLE TO REPRESENT THE TIME {}.@HUSE A LET
TER, SUCH AS `{}' TO REPRESENT THE NUMBE
R OF {}.@I({},I,&V)@HREPRESENT THE TIME
{} IN TERMS OF "&V" (THE TIME {}).@H{}@I
({},I,{})@RPARTS@PWRITE AN EXPRESSION TO
REPRESENT THE DISTANCE TRAVELLED AT EAC
H RATE.@HRATE*TIME = DISTANCE@HRATE \F0
6* \F08 TIME \F16= DISTANCE \N{}@I(17
,I,{})@HRATE*TIME = DISTANCE@HRATE \F06
* \F08 TIME \F16= DISTANCE \N{}@I(18,I
,{})&D(20, )@RWHOLE@PSUBSTITUTE YOUR EXP
RESSIONS FOR {} AND {} IN THE EQUATION.
\NEQUATION: D{}=D{}@HD{} = {} AND D{} =
{}.@H{}@I(20,I,{})@S@RCOMPUTE@PSOLVE THE
EQUATION FOR "&V". USE PAPER AND PENCI
L AND ENTER THE FINAL EQUATION, OR USE T
HE CALCULATOR.@HISOLATE "&V" ON ONE SIDE
OF THE EQUATION.@HTHE CALCULATOR SOLVES
EQUATIONS FOR YOU AND DISPLAYS THE STEP
S IN THE SOLUTION.@I(20,I,&V={})@PNOW YO
U ARE READY TO ENTER YOUR ANSWER. REMEMB
ER WHAT IS BEING ASKED?&Q{}&Q&W(20)@HTHE
{}@HTHE {}.@I({},I,{})@S@RCHECK@PREREAD
THE PROBLEM. CHECK YOUR ANSWERS. EVALUA
TE THE REMAINING EXPRESSIONS IN THE GRID
.@HSUBSTITUTE FOR "&V" IN THE EXPRESSION
FOR {}. THEN CALCULATE THE RESULT.@H{}@
I({},I,{})@HSUBSTITUTE FOR "&V" IN THE E
XPRESSION FOR {}. THEN CALCULATE THE RES
ULT.@H{}@I({},I,{})@HSUBSTITUTE FOR "&V"
IN THE EXPRESSION FOR {} DISTANCE. THEN
CALCULATE THE RESULT.@H{}@I({},I,{})&D(
0,CHECK YOUR WORK. THE {} DISTANCE SHOUL
D EQUAL {} DISTANCE. GET READY FOR A NEW
PROBLEM.)@FAT 2 PM ZACH STARTED DRIVING
35 KM/HR UNTIL HE RAN OUT OF GAS. HE WA
LKED BACK HOME AT 5 KM/HR. IF HE GOT HOM
E AT 4 PM, HOW MUCH TIME DID HE SPEND WA
LKING?.DRIVE.WALK.ZACH DROVE SOME DISTAN
CE AT ONE RATE AND WALKED BACK THE SAME
DISTANCE AT ANOTHER RATE..&HHOW MUCH TIM
E DID HE SPEND WALKING?&H.D.THE DISTANCE
ZACH DROVE.W.THE DISTANCE ZACH WALKED.D
.W.HE WALKED THE SAME DISTANCE THAT HE D
ROVE..HE STARTED AT HOME, DROVE TO THE P
OINT WHERE THE CAR RAN OUT OF GAS AND TH
EN WALKED BACK HOME. SO, `DD=DW'..DD=DW.
HE WALKED THE SAME DISTANCE THAT HE DROV
E..HE STARTED AT HOME, DROVE TO THE POIN
T WHERE THE CAR RAN OUT OF GAS AND THEN
WALKED BACK HOME. SO, `DD=DW'..KILOMETER
S PER HOUR (`KM/HR').5.KM/HR.HOURS (`HR'
).2.HR.KILOMETERS (`KM').2.KM.HE DROVE A
T A RATE OF &H35 KM/HR&H..ZACH'S DRIVING
RATE IS `35' KM/HR..35.HE WALKED AT A R
ATE OF &H5 KM/HR&H..ZACH'S WALKING RATE
IS `5' KM/HR..5.ZACH STARTED AT 2 PM AND
STOPPED AT 4 PM..FROM 2 PM TO 4 PM IS 2
HOURS, SO THE TOTAL TIME IS `2' HOURS..
2.TRAVELLED AT 5 KM/HR SINCE THAT IS WHA
T IS BEING ASKED.W.HOURS HE WALKED.13.HE
DROVE.HE WALKED.HE WAS GONE FOR A TOTAL
OF 2 HRS. FOR "&V" HRS, HE WALKED. FOR
THE REMAINING TIME, `2-&V', HE DROVE. EN
TER `2-&V'..12.2-&V.`35 \F06* \F08(2-&
V)' \F16= DRIVING DISTANCE.35(2-&V).`5
\F06* \F08 &V' \F16= WALKING DISTANC
E.5&V.DD.DW.D.W.D.35(2-&V).W.5&V.`35(2-&
V) = 5&V' SHOWS THAT HE DROVE THE SAME D
ISTANCE AS HE WALKED..35(2-&V)=5&V.1.75.
HOW MUCH TIME DID HE SPEND WALKING?.TIME
SPENT WALKING IS THE VALUE OF "&V".TIME
SPENT WALKING IS THE VALUE OF "&V". &V
= `1.75'.13.1.75.THE TIME SPENT DRIVING.
`2-&V' REPRESENTS THE DRIVING TIME. 2 -
1.75 = .25, SO ENTER `.25 HR'.12..25.THE
DRIVING DISTANCE.38(2-&V) REPRESENTS TH
E DRIVING DISTANCE. 35(2-1.75) = 35 * .2
5 = 8.75 \NSO ENTER `8.75'..17.8.75.THE
WALKING.5&V REPRESENTS THE WALKING DISTA
NCE. 5 * 1.75 = 8.75, SO ENTER `8.75'.18
.8.75.DRIVING.THE WALKING.@FRON WANTS TO
SPEND 1 HOUR ROWING. IF HE CAN ROW 6 MI
/HR DOWNSTREAM AND ONLY 2 MI/HR UPSTREAM
, HOW FAR CAN HE ROW DOWNSTREAM IN ORDER
TO LEAVE HIMSELF JUST ENOUGH TIME TO GE
T BACK?.DOWN.UP.RON TRAVELS SOME DISTANC
E AT ONE RATE AND THE SAME DISTANCE AT A
NOTHER RATE..&HHOW FAR CAN HE ROW DOWNST
REAM&H?.D.DOWNSTREAM DISTANCE.U.UPSTREAM
DISTANCE.D.U.HE WILL TRAVEL THE SAME DI
STANCE UPSTREAM AND DOWNSTREAM..SINCE HE
WILL TRAVEL THE SAME DISTANCE IN BOTH D
IRECTIONS, `DD = DU'..DD = DU.HE WILL TR
AVEL THE SAME DISTANCE UPSTREAM AND DOWN
STREAM..SINCE HE WILL TRAVEL THE SAME DI
STANCE IN BOTH DIRECTIONS, `DD = DU'..MI
LES PER HOUR (`MI/HR').5.MI/HR.HOURS (`H
R').2.HR.MILES (`MI').2.MI.&HHE CAN ROW
6 MI/HR DOWNSTREAM&H..RON`S DOWNSTREAM R
ATE IS `6' MI/HR..6.HE ROWS &H2 MI/HR UP
STREAM&H..RON'S UPSTREAM RATE IS `2' MI/
HR..2.&HRON WANTS TO SPEND 1 HOUR ROWING
&H..RON'S TOTAL TIME IS `1' HOUR..1.TRAV
ELLED AT 6 MI/HR SINCE THAT IS WHAT IS B
EING ASKED.D.HOURS SPENT ROWING DOWNSTRE
AM.12.SPENT ROWING UPSTREAM.ROWING DOWNS
TREAM.SINCE THE TOTAL AMOUNT OF TIME IS
1 HR, THE TIME SPENT ROWING UPSTREAM IS
`1-&V'..13.1-&V. `6 \F06* \F08 &V'
\F16= DOWNSTREAM DISTANCE.6&V. `2 \F06*
\F08(1-&V)'\F16= UPSTREAM DISTANCE.2(1
-&V).DD.DU.D.U.D.6&V.U.2(1-&V).`6&V = 2(
1-&V)' SHOWS THAT HE ROWED THE SAME DIST
ANCE DOWNSTREAM THAT HE ROWED UPSTREAM..
6&V=2(1-&V)..25.HOW FAR CAN HE ROW DOWNS
TREAM.DOWNSTREAM DISTANCE IS THE VALUE O
F "6&V".DOWNSTREAM DISTANCE IS THE VALUE
OF "6&V". &V = .25, SO 6&V = 6 * .25 =
`1.5'.17.1.5.TIME SPENT ROWING DOWNSTREA
M.THE DOWNSTREAM TIME IS THE VALUE OF "&
V". &V = `.25'.12..25.THE TIME SPENT ROW
ING UPSTREAM.THE UPSTREAM TIME IS THE VA
LUE OF "1-&V". 1-&V = 1-.25 = `.75'.13..
75.THE UPSTREAM.2(1-&V) = 2 * .75 = `1.5
'.18.1.5.DOWNSTREAM.THE UPSTREAM.@FAARON
WALKED TO HIS FRIEND'S HOUSE AT 120 YD/
MIN AND BORROWED A BICYCLE TO RIDE BACK
AT 600 YD/MIN. IF THE TOTAL AMOUNT OF TI
ME HE SPENT TRAVELLING WAS 2 HOURS, HOW
FAR DID HE WALK?.WALK.RIDE.HE WALKED THE
SAME DISTANCE THAT HE RODE, BUT HIS RAT
ES WERE DIFFERENT..&HHOW FAR DID HE WALK
?&H.W.WALKING DIST..R.RIDING DIST.W.R.HE
WALKED FOR THE SAME DISTANCE THAT HE RO
DE..`DW=DR' SHOWS THAT HE WALKED THE SAM
E DISTANCE THAT HE DROVE..`DW=DR'.HE WAL
KED FOR THE SAME DISTANCE THAT HE RODE..
`DW=DR' SHOWS THAT HE WALKED THE SAME DI
STANCE THAT HE DROVE..YARDS PER MINUTE `
YD/MIN'.5.YD/MIN.MINUTES (`MIN').3.MIN.Y
ARDS (`YD').2.YD.AARON WALKED AT &H120 Y
D/MIN&H..HIS WALKING RATE WAS `120' YARD
S PER MINUTE..120.HE RODE AT &H600 YD/MI
N&H..AARON'S RIDING RATE WAS `600' YARDS
PER MINUTE..600.&HTHE TOTAL AMOUNT OF T
IME HE SPENT TRAVELLING WAS 2 HOURS&H. (
REMEMBER TIME IS BEING MEASURED IN MINUT
ES.).HIS TOTAL TIME WAS 2 HOURS, WHICH E
QUALS `120' MINUTES..120.SPENT WALKING S
INCE THE QUESTION REFERS TO WALKING.W.MI
NUTES HE SPENT WALKING.12.SPENT RIDING.S
PENT WALKING.HE WAS OUT FOR A TOTAL OF 1
20 MINUTES AND HE WAS WALKING FOR &V MIN
UTES. SO HE WAS RIDING FOR `120-&V' MIN.
.13.120-&V.`120 \F06* &V' \F16= WALKIN
G DIST..120&V.`600 \F06* \F08(120-&V)' \
F16= RIDING DIST..600(120-&V).DW.DR.W.D.
W.120&V.R.600(120-&V).`120&V = 600(120-&
V)'.120&V=600(120-&V).100.HOW FAR DID HE
WALK?.WALKING DISTANCE IS 120&V, AND &V
= 100..WALKING DISTANCE IS 120&V. &V -
100, SO 120&V = 120 * 100 = `12,000' YAR
DS.17.12000.HIS WALKING TIME.&V = 100, S
O HE WALKED FOR `100' MINUTES..12.100.HI
S RIDING TIME.&V = 100, AND 120-&V REPRE
SENTS HIS RIDING TIME, SO HE RODE FOR `2
0' MINUTES..13.20.HIS RIDING.&V =100, AN
D 600(120-&V) IS HIS RIDING DISTANCE, SO
HE RODE FOR 600*20, OR `12,000' YARDS..
18.12000.WALKING.THE RIDING.|D
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