_  __   _  _         _ _     _      _           _           
  __| |/ /_ | || |     __| (_)___| | __ (_)_ __   __| | _____  __
 / _` | '_ \| || |_   / _` | / __| |/ / | | '_ \ / _` |/ _ \ \/ /
| (_| | (_) |__   _| | (_| | \__ \   <  | | | | | (_| |  __/>  < 
 \__,_|\___/   |_|    \__,_|_|___/_|\_\ |_|_| |_|\__,_|\___/_/\_\
                                                                 
            

DIST3L3

FILE INFORMATION

FILENAME(S): DIST3L3

FILE TYPE(S): PRG

FILE SIZE: 5.7K

FIRST SEEN: 2025-10-19 22:48:55

APPEARS ON: 1 disk(s)

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HHM 100785 43S1 DIST3L3 PRG Radd Maxx 12 0 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

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00000DC0: 00 60 44 74 2B 32 35 3D  44 72 27 00 69 66 20 54  |.`Dt+25=Dr'.if T|
00000DD0: 69 6D 27 73 00 32 35 20  79 61 72 64 73 00 52 6F  |im's.25 yards.Ro|
00000DE0: 62 69 6E 27 73 00 74 2B  32 35 00 72 00 79 61 72  |bin's.t+25.r.yar|
00000DF0: 64 73 20 70 65 72 20 6D  69 6E 75 74 65 20 28 60  |ds per minute (`|
00000E00: 79 64 2F 6D 69 6E 27 29  00 36 00 79 64 2F 6D 69  |yd/min').6.yd/mi|
00000E10: 6E 00 6D 69 6E 75 74 65  73 20 28 60 6D 69 6E 27  |n.minutes (`min'|
00000E20: 29 2E 00 33 00 6D 69 6E  00 79 61 72 64 73 20 28  |)..3.min.yards (|
00000E30: 60 79 64 27 29 2E 00 32  00 79 64 00 26 68 52 6F  |`yd')..2.yd.&hRo|
00000E40: 62 69 6E 20 73 77 69 6D  73 20 35 30 20 79 61 72  |bin swims 50 yar|
00000E50: 64 73 20 65 61 63 68 20  6D 69 6E 75 74 65 26 68  |ds each minute&h|
00000E60: 2E 00 52 6F 62 69 6E 27  73 20 72 61 74 65 20 69  |..Robin's rate i|
00000E70: 73 20 60 35 30 27 20 79  61 72 64 73 20 70 65 72  |s `50' yards per|
00000E80: 20 6D 69 6E 75 74 65 2E  00 35 30 00 26 68 54 69  | minute..50.&hTi|
00000E90: 6D 20 73 77 69 6D 73 20  34 35 20 79 64 2F 6D 69  |m swims 45 yd/mi|
00000EA0: 6E 2E 26 68 00 54 69 6D  27 73 20 72 61 74 65 20  |n.&h.Tim's rate |
00000EB0: 69 73 20 60 34 35 27 20  79 61 72 64 73 20 70 65  |is `45' yards pe|
00000EC0: 72 20 6D 69 6E 75 74 65  2E 00 34 35 00 70 65 72  |r minute..45.per|
00000ED0: 73 6F 6E 27 73 20 74 69  6D 65 00 42 6F 74 68 20  |son's time.Both |
00000EE0: 70 65 6F 70 6C 65 20 73  77 69 6D 00 74 00 61 6D  |people swim.t.am|
00000EF0: 6F 75 6E 74 20 6F 66 20  74 69 6D 65 20 74 68 61  |ount of time tha|
00000F00: 74 20 52 6F 62 69 6E 20  73 70 65 6E 74 20 73 77  |t Robin spent sw|
00000F10: 69 6D 6D 69 6E 67 00 74  68 61 74 20 54 69 6D 20  |imming.that Tim |
00000F20: 73 77 69 6D 73 00 74 68  61 74 20 52 6F 62 69 6E  |swims.that Robin|
00000F30: 20 73 77 69 6D 73 00 73  77 69 6D 00 54 69 6D 27  | swims.swim.Tim'|
00000F40: 73 00 74 68 61 74 20 65  61 63 68 20 70 65 72 73  |s.that each pers|
00000F50: 6F 6E 20 73 77 75 6D 00  60 35 30 20 20 5C 66 30  |on swum.`50  \f0|
00000F60: 36 2A 20 5C 66 30 38 20  26 76 27 20 5C 66 31 33  |6* \f08 &v' \f13|
00000F70: 3D 20 52 6F 62 69 6E 27  73 20 64 69 73 74 2E 20  |= Robin's dist. |
00000F80: 00 35 30 26 76 00 60 34  35 20 20 5C 66 30 36 2A  |.50&v.`45  \f06*|
00000F90: 20 5C 66 30 38 20 26 76  27 20 5C 66 31 33 3D 20  | \f08 &v' \f13= |
00000FA0: 54 69 6D 27 73 20 64 69  73 74 2E 00 34 35 26 76  |Tim's dist..45&v|
00000FB0: 00 72 00 74 00 74 2B 32  35 00 72 00 72 00 35 30  |.r.t.t+25.r.r.50|
00000FC0: 26 76 00 74 00 34 35 26  76 00 60 34 35 26 76 2B  |&v.t.45&v.`45&v+|
00000FD0: 32 35 20 3D 20 35 30 26  76 27 00 52 6F 62 69 6E  |25 = 50&v'.Robin|
00000FE0: 27 73 00 32 35 20 79 61  72 64 73 00 54 69 6D 27  |'s.25 yards.Tim'|
00000FF0: 73 00 34 35 26 76 2B 32  35 3D 35 30 26 76 00 35  |s.45&v+25=50&v.5|
00001000: 00 48 6F 77 20 6C 6F 6E  67 20 77 69 6C 6C 20 69  |.How long will i|
00001010: 74 20 74 61 6B 65 20 52  6F 62 69 6E 20 74 6F 20  |t take Robin to |
00001020: 67 65 74 20 31 20 6C 61  70 20 28 32 35 20 79 61  |get 1 lap (25 ya|
00001030: 72 64 73 29 20 61 68 65  61 64 20 6F 66 20 54 69  |rds) ahead of Ti|
00001040: 6D 3F 00 62 6F 74 68 20  52 6F 62 69 6E 20 61 6E  |m?.both Robin an|
00001050: 64 20 54 69 6D 00 62 6F  74 68 20 52 6F 62 69 6E  |d Tim.both Robin|
00001060: 20 61 6E 64 20 54 69 6D  00 35 00 35 00 35 00 35  | and Tim.5.5.5.5|
00001070: 00 52 6F 62 69 6E 27 73  00 35 30 26 76 00 52 6F  |.Robin's.50&v.Ro|
00001080: 62 69 6E 27 73 00 35 2C  20 73 6F 20 35 30 2A 35  |bin's.5, so 50*5|
00001090: 2C 20 6F 72 20 60 32 35  30 27 20 79 61 72 64 73  |, or `250' yards|
000010A0: 20 69 73 20 74 68 65 20  64 69 73 74 61 6E 63 65  | is the distance|
000010B0: 20 74 68 61 74 20 52 6F  62 69 6E 20 73 77 61 6D  | that Robin swam|
000010C0: 2E 00 32 35 30 00 54 69  6D 27 73 00 34 35 26 76  |..250.Tim's.45&v|
000010D0: 00 54 69 6D 27 73 00 35  2C 20 73 6F 20 34 35 2A  |.Tim's.5, so 45*|
000010E0: 35 20 6F 72 2C 60 32 32  35 27 20 79 61 72 64 73  |5 or,`225' yards|
000010F0: 20 69 73 20 74 68 65 20  64 69 73 74 61 6E 63 65  | is the distance|
00001100: 20 74 68 61 74 20 54 69  6D 20 73 77 61 6D 2E 00  | that Tim swam..|
00001110: 32 32 35 00 54 69 6D 27  73 00 32 35 20 79 61 72  |225.Tim's.25 yar|
00001120: 64 73 00 52 6F 62 69 6E  27 73 00 40 66 41 6C 69  |ds.Robin's.@fAli|
00001130: 73 6F 6E 20 63 61 6E 20  72 65 61 64 20 31 30 30  |son can read 100|
00001140: 20 77 6F 72 64 73 20 70  65 72 20 6D 69 6E 75 74  | words per minut|
00001150: 65 20 28 77 2F 6D 69 6E  29 20 61 6E 64 20 53 74  |e (w/min) and St|
00001160: 65 76 65 6E 20 63 61 6E  20 72 65 61 64 20 38 30  |even can read 80|
00001170: 20 77 2F 6D 69 6E 2E 20  49 66 20 74 68 65 79 20  | w/min. If they |
00001180: 61 72 65 20 62 6F 74 68  20 73 74 61 72 74 69 6E  |are both startin|
00001190: 67 20 74 6F 20 72 65 61  64 20 74 68 65 20 73 61  |g to read the sa|
000011A0: 6D 65 20 62 6F 6F 6B 2C  20 61 66 74 65 72 20 68  |me book, after h|
000011B0: 6F 77 20 6D 75 63 68 20  74 69 6D 65 20 77 69 6C  |ow much time wil|
000011C0: 6C 20 41 6C 69 73 6F 6E  20 62 65 20 32 32 35 20  |l Alison be 225 |
000011D0: 77 6F 72 64 73 20 61 68  65 61 64 20 6F 66 20 53  |words ahead of S|
000011E0: 74 65 76 65 6E 3F 00 41  6C 69 73 6F 6E 00 53 74  |teven?.Alison.St|
000011F0: 65 76 65 6E 00 54 68 65  79 20 73 74 61 72 74 20  |even.They start |
00001200: 72 65 61 64 69 6E 67 20  61 74 20 74 68 65 20 73  |reading at the s|
00001210: 61 6D 65 20 74 69 6D 65  2C 20 61 6E 64 20 41 6C  |ame time, and Al|
00001220: 69 73 6F 6E 27 73 20 72  61 74 65 20 69 73 20 66  |ison's rate is f|
00001230: 61 73 74 65 72 20 74 68  61 6E 20 53 74 65 76 65  |aster than Steve|
00001240: 6E 27 73 00 26 68 41 66  74 65 72 20 68 6F 77 20  |n's.&hAfter how |
00001250: 6D 75 63 68 20 74 69 6D  65 20 77 69 6C 6C 20 41  |much time will A|
00001260: 6C 69 73 6F 6E 20 62 65  20 32 32 35 20 77 6F 72  |lison be 225 wor|
00001270: 64 73 20 61 68 65 61 64  26 68 3F 00 61 00 41 6C  |ds ahead&h?.a.Al|
00001280: 69 73 6F 6E 27 73 00 73  00 53 74 65 76 65 6E 27  |ison's.s.Steven'|
00001290: 73 00 61 00 73 00 60 44  73 2B 32 32 35 20 3D 20  |s.a.s.`Ds+225 = |
000012A0: 44 61 27 20 73 68 6F 77  73 20 74 68 61 74 2C 20  |Da' shows that, |
000012B0: 69 6E 20 74 6F 74 61 6C  2C 20 41 6C 69 73 6F 6E  |in total, Alison|
000012C0: 20 77 69 6C 6C 20 68 61  76 65 20 72 65 61 64 20  | will have read |
000012D0: 32 32 35 20 77 6F 72 64  73 20 6D 6F 72 65 20 74  |225 words more t|
000012E0: 68 61 6E 20 53 74 65 76  65 6E 2E 00 60 44 73 2B  |han Steven..`Ds+|
000012F0: 32 32 35 20 3D 20 44 61  27 00 69 66 20 53 74 65  |225 = Da'.if Ste|
00001300: 76 65 6E 27 73 00 32 32  35 00 41 6C 69 73 6F 6E  |ven's.225.Alison|
00001310: 27 73 00 73 2B 32 32 35  00 61 00 44 73 2B 32 32  |'s.s+225.a.Ds+22|
00001320: 35 20 3D 20 44 61 00 60  44 73 2B 32 32 35 20 3D  |5 = Da.`Ds+225 =|
00001330: 20 44 61 27 20 73 68 6F  77 73 20 74 68 61 74 2C  | Da' shows that,|
00001340: 20 69 6E 20 74 6F 74 61  6C 2C 20 41 6C 69 73 6F  | in total, Aliso|
00001350: 6E 20 77 69 6C 6C 20 68  61 76 65 20 72 65 61 64  |n will have read|
00001360: 20 32 32 35 20 77 6F 72  64 73 20 6D 6F 72 65 20  | 225 words more |
00001370: 74 68 61 6E 20 53 74 65  76 65 6E 2E 00 60 44 73  |than Steven..`Ds|
00001380: 2B 32 32 35 20 3D 20 44  61 27 00 69 66 20 53 74  |+225 = Da'.if St|
00001390: 65 76 65 6E 27 73 00 32  32 35 00 41 6C 69 73 6F  |even's.225.Aliso|
000013A0: 6E 27 73 00 73 2B 32 32  35 00 61 00 77 6F 72 64  |n's.s+225.a.word|
000013B0: 73 20 70 65 72 20 6D 69  6E 75 74 65 28 60 77 2F  |s per minute(`w/|
000013C0: 6D 69 6E 27 29 00 34 00  77 2F 6D 69 6E 00 6D 69  |min').4.w/min.mi|
000013D0: 6E 75 74 65 73 20 28 60  6D 69 6E 27 29 00 33 00  |nutes (`min').3.|
000013E0: 6D 69 6E 00 77 6F 72 64  73 20 28 60 77 27 29 2E  |min.words (`w').|
000013F0: 00 31 00 77 00 41 6C 69  73 6F 6E 20 72 65 61 64  |.1.w.Alison read|
00001400: 73 20 26 68 31 30 30 20  77 6F 72 64 73 20 70 65  |s &h100 words pe|
00001410: 72 20 6D 69 6E 75 74 65  26 68 2E 00 41 6C 69 73  |r minute&h..Alis|
00001420: 6F 6E 27 73 20 72 61 74  65 20 69 73 20 60 31 30  |on's rate is `10|
00001430: 30 27 20 77 2F 6D 69 6E  2E 00 31 30 30 00 53 74  |0' w/min..100.St|
00001440: 65 76 65 6E 27 73 20 72  65 61 64 73 20 26 68 38  |even's reads &h8|
00001450: 30 20 77 2F 6D 69 6E 26  68 2E 00 53 74 65 76 65  |0 w/min&h..Steve|
00001460: 6E 27 73 20 72 61 74 65  20 69 73 20 60 38 30 27  |n's rate is `80'|
00001470: 20 77 2F 6D 69 6E 2E 00  38 30 00 70 65 72 73 6F  | w/min..80.perso|
00001480: 6E 20 72 65 61 64 73 00  42 6F 74 68 20 70 65 6F  |n reads.Both peo|
00001490: 70 6C 65 20 72 65 61 64  00 61 00 74 69 6D 65 20  |ple read.a.time |
000014A0: 41 6C 69 73 6F 6E 20 73  70 65 6E 64 73 20 72 65  |Alison spends re|
000014B0: 61 64 69 6E 67 00 53 74  65 76 65 6E 20 73 70 65  |ading.Steven spe|
000014C0: 6E 64 73 20 72 65 61 64  69 6E 67 00 41 6C 69 73  |nds reading.Alis|
000014D0: 6F 6E 20 73 70 65 6E 64  73 20 72 65 61 64 69 6E  |on spends readin|
000014E0: 67 00 72 65 61 64 00 53  74 65 76 65 6E 27 73 20  |g.read.Steven's |
000014F0: 72 65 61 64 69 6E 67 00  6F 72 20 69 6E 20 74 68  |reading.or in th|
00001500: 69 73 20 63 61 73 65 2C  20 74 68 65 20 6E 75 6D  |is case, the num|
00001510: 62 65 72 20 6F 66 20 77  6F 72 64 73 20 65 61 63  |ber of words eac|
00001520: 68 20 70 65 72 73 6F 6E  20 72 65 61 64 73 00 60  |h person reads.`|
00001530: 31 30 30 20 20 5C 66 30  36 2A 20 5C 66 30 38 20  |100  \f06* \f08 |
00001540: 26 76 27 20 5C 66 31 33  3D 20 23 20 6F 66 20 77  |&v' \f13= # of w|
00001550: 6F 72 64 73 00 31 30 30  26 76 00 60 38 30 20 20  |ords.100&v.`80  |
00001560: 5C 66 30 36 2A 20 20 5C  66 30 38 20 26 76 27 20  |\f06*  \f08 &v' |
00001570: 20 5C 66 31 33 3D 20 23  20 6F 66 20 77 6F 72 64  | \f13= # of word|
00001580: 73 00 38 30 26 76 00 61  00 73 00 73 2B 32 32 35  |s.80&v.a.s.s+225|
00001590: 00 61 00 61 00 31 30 30  26 76 00 73 00 38 30 26  |.a.a.100&v.s.80&|
000015A0: 76 00 60 38 30 26 76 2B  32 32 35 20 3D 20 31 30  |v.`80&v+225 = 10|
000015B0: 30 26 76 27 00 41 6C 69  73 6F 6E 27 73 00 32 32  |0&v'.Alison's.22|
000015C0: 35 20 77 6F 72 64 73 00  53 74 65 76 65 6E 27 73  |5 words.Steven's|
000015D0: 00 38 30 26 76 2B 32 32  35 3D 31 30 30 26 76 00  |.80&v+225=100&v.|
000015E0: 31 31 2E 32 35 00 61 66  74 65 72 20 68 6F 77 20  |11.25.after how |
000015F0: 6D 75 63 68 20 74 69 6D  65 20 77 69 6C 6C 20 41  |much time will A|
00001600: 6C 69 73 6F 6E 20 62 65  20 32 32 35 20 77 6F 72  |lison be 225 wor|
00001610: 64 73 20 61 68 65 61 64  00 62 6F 74 68 20 6F 66  |ds ahead.both of|
00001620: 20 74 68 65 6D 00 41 6C  69 73 6F 6E 00 31 31 2E  | them.Alison.11.|
00001630: 32 35 00 31 31 2E 32 35  00 31 31 2E 32 35 00 31  |25.11.25.11.25.1|
00001640: 31 2E 32 35 00 41 6C 69  73 6F 6E 27 73 00 31 30  |1.25.Alison's.10|
00001650: 30 26 76 00 41 6C 69 73  6F 6E 27 73 00 31 31 2E  |0&v.Alison's.11.|
00001660: 32 35 2C 20 73 6F 20 31  30 30 26 76 20 3D 20 31  |25, so 100&v = 1|
00001670: 30 30 20 2A 20 31 31 2E  32 35 20 3D 20 60 31 31  |00 * 11.25 = `11|
00001680: 32 35 27 00 31 31 32 35  00 53 74 65 76 65 6E 27  |25'.1125.Steven'|
00001690: 73 00 38 30 26 76 00 53  74 65 76 65 6E 27 73 00  |s.80&v.Steven's.|
000016A0: 31 31 2E 32 35 2C 20 73  6F 20 38 30 26 76 20 3D  |11.25, so 80&v =|
000016B0: 20 38 30 20 2A 20 31 31  2E 32 35 20 3D 20 60 39  | 80 * 11.25 = `9|
000016C0: 30 30 27 00 39 30 30 00  53 74 65 76 65 6E 27 73  |00'.900.Steven's|
000016D0: 00 32 32 35 00 41 6C 69  73 6F 6E 27 73 00 7C 65  |.225.Alison's.|e|
 A      @Q{}@DG05&D(1,UNIT/MEAS)&C(2,{})
&C(3,{})&D(4,RATE)&D(8,TIME)&D(12,DIST.)
@RREAD@PREAD THE WHOLE PROBLEM. THINK: W
HAT ARE THE FACTS?  WHAT IS BEING ASKED?
  (PRESS ANY KEY TO CONTINUE).@HWHAT ARE
 THE FACTS? {}.@HWHAT IS BEING ASKED? {}
@I(0)@RPLAN @PLET D{} = {} DISTANCE AND 
\ND{} = {} DISTANCE. WRITE AN EQUATION T
HAT RELATES D{} AND D{}.@H{}@H{} SHOWS T
HAT {} DISTANCE WAS INCREASED BY {}, IT 
WOULD EQUAL {} DISTANCE.@I(16,C0,D{}=D{}
)@PONE ANSWER IS `{}'. CHANGE YOUR ANSWE
R IF IT IS NOT EQUIVALENT. (PRESS RETURN
)@H{}@H{} SHOWS THAT {} DISTANCE WAS INC
REASED BY {}, IT WOULD EQUAL {} DISTANCE
.@I(16,C0,D{}=D{})@RDATA ENTRY@PFILL IN 
THE UNITS BY WHICH RATE, TIME AND DISTAN
CE ARE MEASURED. (USE ABBREVIATED FORM.)
@HRATE OF SPEED IS COMMONLY MEASURED IN 
MILES PER HOUR(MI/HR), METERS PER MINUTE
(M/MIN), ETC.@HTHE RATE OF SPEED IN THIS
 PROBLEM IS MEASURED IN {}.@I(5,C{},{})@
HTIME IS COMMONLY MEASURED IN SECONDS (S
EC), MINUTES (MIN), HOURS (HR), DAYS (DA
), ETC.@HTIME IN THIS PROBLEM IS MEASURE
D IN {}@I(9,C{},{})@HDISTANCE IS COMMONL
Y MEASURED IN FEET (FT), YARDS (YD), MIL
ES (MI), METERS (M), KILOMETERS (KM), ET
C.@HDISTANCE IN THIS PROBLEM IS MEASURED
 IN {}@I(13,C{},{})@PENTER THE FACTS FRO
M THE PROBLEM INTO THE GRID.@H{}@H{}@I(6
,I,{})@H{}@H{}@I(7,I,{})@PUSE A VARIABLE
 TO REPRESENT THE TIME EACH {}.@H{} FOR 
THE SAME AMOUNT OF TIME, SO USE THE SAME
 VARIABLE TO REPRESENT BOTH THEIR TIMES.
@HUSE A VARIABLE, SUCH AS `{}' TO REPRES
ENT THE {}.@I(10,I,&V)@HREPRESENT THE TI
ME {} IN TERMS OF "&V" (THE TIME {}).@HS
INCE BOTH OF THEM {} FOR THE SAME AMOUNT
 OF TIME, USE THE SAME VARIABLE, `&V' TO
 REPRESENT {} TIME.@I(11,I,&V)@RPARTS@PW
RITE EXPRESSIONS TO REPRESENT TBE DISTAN
CE {}.@HRATE*TIME = DISTANCE@HRATE  \F06
* \F08TIME \F13= DISTANCE \N{}@I(14,I,{}
)@HRATE*TIME = DISTANCE@HRATE  \F06* \F0
8TIME \F13= DISTANCE \N{}@I(15,I,{})@RWH
OLE&D(16, )@PSUBSTITUTE YOUR EXPRESSIONS
 FOR D{} AND D{} IN THE EQUATION: D{} = 
D{}@HD{} = {} AND D{} = {}.@H{} SHOWS TH
AT {} DISTANCE IS {} GREATER THAN {} DIS
TANCE.@I(16,I,{})@S@RCOMPUTE@PSOLVE THE 
EQUATION FOR "&V". USE PAPER AND PENCIL 
AND ENTER THE FINAL EQUATION, OR USE THE
 CALCULATOR.@HISOLATE "&V" ON ONE SIDE O
F THE EQUATION.@HTHE CALCULATOR SOLVES E
QUATIONS FOR YOU AND DISPLAYS THE STEPS 
IN THE SOLUTION.@I(16,I,&V={})@PNOW YOU 
ARE READY TO ANSWER THE QUESTION. ENTER 
YOUR ANSWER IN THE GRID.&Q{}&Q&W(16)@HTH
E TIME FOR {} IS EQUAL TO THE VALUE OF "
&V".@HTHE TIME FOR {} IS EQUAL TO THE VA
LUE OF "&V". &V = {}, SO ENTER {}'.@I(10
,I,{})&D(11,{})@S@RCHECK@PREREAD THE PRO
BLEM. CHECK YOUR ANSWERS. EVALUATE THE R
EMAINING EXPRESSIONS IN THE GRID.&W(16)@
HSUBSTITUTE FOR "&V" IN THE EXPRESSION F
OR {} DISTANCE. THEN CALCULATE THE RESUL
T.@H{} REPRESENTS {} DISTANCE AND &V={}@
I(14,I,{})@HSUBSTITUTE FOR "&V" IN THE E
XPRESSION FOR {} DISTANCE. THEN CALCULAT
E THE RESULT.@H{} REPRESENTS {} DISTANCE
 AND &V={}@I(15,I,{})&D(0,CHECK YOUR WOR
K. {} DISTANCE + {} SHOULD EQUAL {} DIST
ANCE. GET READY FOR A NEW PROBLEM.)@FROB
IN SWIMS 50 YARDS EACH MINUTE AND TIM SW
IMS 45 YD/MIN. HOW LONG WILL IT TAKE ROB
IN TO GET 1 LAP (25 YARDS) AHEAD OF TIM?
.ROBIN.TIM.ROBIN SWIMS 50 YARDS EACH MIN
UTE AND TIM SWIMS 45 YD/MIN UNTIL SHE IS
 25 YARDS AHEAD.&HHOW LONG WILL IT TAKE 
ROBIN TO GET 1 LAP (25 YARDS) AHEAD OF T
IM?&H.R.ROBIN'S.T.TIM'S.R.T.THEY BOTH ST
ART SWIMMING AT THE SAME TIME AND CONTIN
UE UNTIL ROBIN HAS SWUM 25 YARDS MORE TH
AN TIM..`DT+25=DR'.IF TIM'S.25 YARDS.ROB
IN'S.T+25.R.DT+25=DR.THEY BOTH START SWI
MMING AT THE SAME TIME AND CONTINUE UNTI
L ROBIN HAS SWUM 25 YARDS MORE THAN TIM.
.`DT+25=DR'.IF TIM'S.25 YARDS.ROBIN'S.T+
25.R.YARDS PER MINUTE (`YD/MIN').6.YD/MI
N.MINUTES (`MIN')..3.MIN.YARDS (`YD')..2
.YD.&HROBIN SWIMS 50 YARDS EACH MINUTE&H
..ROBIN'S RATE IS `50' YARDS PER MINUTE.
.50.&HTIM SWIMS 45 YD/MIN.&H.TIM'S RATE 
IS `45' YARDS PER MINUTE..45.PERSON'S TI
ME.BOTH PEOPLE SWIM.T.AMOUNT OF TIME THA
T ROBIN SPENT SWIMMING.THAT TIM SWIMS.TH
AT ROBIN SWIMS.SWIM.TIM'S.THAT EACH PERS
ON SWUM.`50  \F06* \F08 &V' \F13= ROBIN'
S DIST. .50&V.`45  \F06* \F08 &V' \F13= 
TIM'S DIST..45&V.R.T.T+25.R.R.50&V.T.45&
V.`45&V+25 = 50&V'.ROBIN'S.25 YARDS.TIM'
S.45&V+25=50&V.5.HOW LONG WILL IT TAKE R
OBIN TO GET 1 LAP (25 YARDS) AHEAD OF TI
M?.BOTH ROBIN AND TIM.BOTH ROBIN AND TIM
.5.5.5.5.ROBIN'S.50&V.ROBIN'S.5, SO 50*5
, OR `250' YARDS IS THE DISTANCE THAT RO
BIN SWAM..250.TIM'S.45&V.TIM'S.5, SO 45*
5 OR,`225' YARDS IS THE DISTANCE THAT TI
M SWAM..225.TIM'S.25 YARDS.ROBIN'S.@FALI
SON CAN READ 100 WORDS PER MINUTE (W/MIN
) AND STEVEN CAN READ 80 W/MIN. IF THEY 
ARE BOTH STARTING TO READ THE SAME BOOK,
 AFTER HOW MUCH TIME WILL ALISON BE 225 
WORDS AHEAD OF STEVEN?.ALISON.STEVEN.THE
Y START READING AT THE SAME TIME, AND AL
ISON'S RATE IS FASTER THAN STEVEN'S.&HAF
TER HOW MUCH TIME WILL ALISON BE 225 WOR
DS AHEAD&H?.A.ALISON'S.S.STEVEN'S.A.S.`D
S+225 = DA' SHOWS THAT, IN TOTAL, ALISON
 WILL HAVE READ 225 WORDS MORE THAN STEV
EN..`DS+225 = DA'.IF STEVEN'S.225.ALISON
'S.S+225.A.DS+225 = DA.`DS+225 = DA' SHO
WS THAT, IN TOTAL, ALISON WILL HAVE READ
 225 WORDS MORE THAN STEVEN..`DS+225 = D
A'.IF STEVEN'S.225.ALISON'S.S+225.A.WORD
S PER MINUTE(`W/MIN').4.W/MIN.MINUTES (`
MIN').3.MIN.WORDS (`W')..1.W.ALISON READ
S &H100 WORDS PER MINUTE&H..ALISON'S RAT
E IS `100' W/MIN..100.STEVEN'S READS &H8
0 W/MIN&H..STEVEN'S RATE IS `80' W/MIN..
80.PERSON READS.BOTH PEOPLE READ.A.TIME 
ALISON SPENDS READING.STEVEN SPENDS READ
ING.ALISON SPENDS READING.READ.STEVEN'S 
READING.OR IN THIS CASE, THE NUMBER OF W
ORDS EACH PERSON READS.`100  \F06* \F08 
&V' \F13= # OF WORDS.100&V.`80  \F06*  \
F08 &V'  \F13= # OF WORDS.80&V.A.S.S+225
.A.A.100&V.S.80&V.`80&V+225 = 100&V'.ALI
SON'S.225 WORDS.STEVEN'S.80&V+225=100&V.
11.25.AFTER HOW MUCH TIME WILL ALISON BE
 225 WORDS AHEAD.BOTH OF THEM.ALISON.11.
25.11.25.11.25.11.25.ALISON'S.100&V.ALIS
ON'S.11.25, SO 100&V = 100 * 11.25 = `11
25'.1125.STEVEN'S.80&V.STEVEN'S.11.25, S
O 80&V = 80 * 11.25 = `900'.900.STEVEN'S
.225.ALISON'S.|E
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