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

DIST4L3

FILE INFORMATION

FILENAME(S): DIST4L3

FILE TYPE(S): PRG

FILE SIZE: 5.5K

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

APPEARS ON: 1 disk(s)

FILE HASH

d664c7c670ad6a81e08e6df23b428ce17cbf98861db3b8e5e86e8ddaf81870c9

FOUND ON DISKS (1 DISKS)

DISK TITLE FILENAME FILE TYPE COLLECTION TRACK SECTOR ACTIONS
HHM 100785 43S1 DIST4L3 PRG Radd Maxx 26 1 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

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00000DD0: 20 74 72 61 76 65 6C 73  00 74 68 65 20 74 72 75  | travels.the tru|
00000DE0: 63 6B 00 63 00 68 6F 75  72 73 20 74 68 65 20 63  |ck.c.hours the c|
00000DF0: 61 72 20 74 72 61 76 65  6C 73 00 31 31 00 74 68  |ar travels.11.th|
00000E00: 65 20 74 72 75 63 6B 20  74 72 61 76 65 6C 73 00  |e truck travels.|
00000E10: 28 74 68 65 20 74 69 6D  65 20 74 68 65 20 63 61  |(the time the ca|
00000E20: 72 20 74 72 61 76 65 6C  73 29 00 54 68 65 20 74  |r travels).The t|
00000E30: 72 75 63 6B 20 6C 65 66  74 20 32 20 68 6F 75 72  |ruck left 2 hour|
00000E40: 73 20 62 65 66 6F 72 65  20 74 68 65 20 63 61 72  |s before the car|
00000E50: 2E 20 54 68 65 20 74 72  75 63 6B 20 74 72 61 76  |. The truck trav|
00000E60: 65 6C 73 20 32 20 68 6F  75 72 73 20 6D 6F 72 65  |els 2 hours more|
00000E70: 20 74 68 61 6E 20 74 68  65 20 63 61 72 2E 20 60  | than the car. `|
00000E80: 26 76 2B 32 27 20 69 73  20 74 68 65 20 74 72 75  |&v+2' is the tru|
00000E90: 63 6B 27 73 20 74 69 6D  65 2E 00 31 30 00 26 76  |ck's time..10.&v|
00000EA0: 2B 32 00 60 20 34 30 20  20 5C 66 30 36 2A 20 28  |+2.` 40  \f06* (|
00000EB0: 26 76 2B 32 29 5C 66 31  34 3D 20 44 69 73 74 61  |&v+2)\f14= Dista|
00000EC0: 6E 63 65 00 34 30 28 26  76 2B 32 29 00 60 36 30  |nce.40(&v+2).`60|
00000ED0: 20 5C 66 30 36 2A 20 20  26 76 27 20 20 5C 66 31  | \f06*  &v'  \f1|
00000EE0: 34 3D 20 44 69 73 74 61  6E 63 65 00 36 30 26 76  |4= Distance.60&v|
00000EF0: 00 74 00 63 00 74 00 63  00 74 00 34 30 28 26 76  |.t.c.t.c.t.40(&v|
00000F00: 2B 32 29 00 63 00 36 30  26 76 00 60 34 30 28 26  |+2).c.60&v.`40(&|
00000F10: 76 2B 32 29 20 3D 20 36  30 26 76 27 20 69 73 20  |v+2) = 60&v' is |
00000F20: 74 68 65 20 65 71 75 61  74 69 6F 6E 2E 00 34 30  |the equation..40|
00000F30: 28 26 76 2B 32 29 3D 36  30 26 76 00 34 00 48 6F  |(&v+2)=60&v.4.Ho|
00000F40: 77 20 6C 6F 6E 67 20 77  69 6C 6C 20 69 74 20 74  |w long will it t|
00000F50: 61 6B 65 20 74 68 65 20  63 61 72 20 74 6F 20 63  |ake the car to c|
00000F60: 61 74 63 68 20 75 70 20  74 6F 20 74 68 65 20 74  |atch up to the t|
00000F70: 72 75 63 6B 3F 00 74 68  65 20 63 61 72 00 74 68  |ruck?.the car.th|
00000F80: 65 20 63 61 72 00 34 00  34 00 34 00 74 68 65 20  |e car.4.4.4.the |
00000F90: 74 72 75 63 6B 27 73 00  54 68 65 20 74 72 75 63  |truck's.The truc|
00000FA0: 6B 20 74 6F 6F 6B 20 26  76 2B 32 20 68 6F 75 72  |k took &v+2 hour|
00000FB0: 73 2C 20 77 68 69 63 68  20 65 71 75 61 6C 73 20  |s, which equals |
00000FC0: 27 36 27 20 68 6F 75 72  73 2E 00 31 30 00 36 00  |'6' hours..10.6.|
00000FD0: 74 72 75 63 6B 27 73 00  54 68 65 20 74 72 75 63  |truck's.The truc|
00000FE0: 6B 20 64 72 6F 76 65 20  34 30 28 26 76 2B 32 29  |k drove 40(&v+2)|
00000FF0: 20 6D 69 6C 65 73 2C 20  77 68 69 63 68 20 65 71  | miles, which eq|
00001000: 75 61 6C 73 20 27 32 34  30 27 20 6D 69 6C 65 73  |uals '240' miles|
00001010: 2E 00 32 34 30 00 63 61  72 27 73 00 54 68 65 20  |..240.car's.The |
00001020: 63 61 72 20 64 72 6F 76  65 20 36 30 26 76 20 6D  |car drove 60&v m|
00001030: 69 6C 65 73 2C 20 77 68  69 63 68 20 65 71 75 61  |iles, which equa|
00001040: 6C 73 20 27 32 34 30 27  20 6D 69 6C 65 73 2E 00  |ls '240' miles..|
00001050: 32 34 30 00 54 68 65 20  74 72 75 63 6B 27 73 00  |240.The truck's.|
00001060: 74 68 65 20 63 61 72 27  73 00 40 66 53 61 6D 20  |the car's.@fSam |
00001070: 67 6F 65 73 20 74 6F 20  73 63 68 6F 6F 6C 20 61  |goes to school a|
00001080: 74 20 38 41 4D 2C 20 62  75 74 20 68 69 73 20 62  |t 8AM, but his b|
00001090: 72 6F 74 68 65 72 20 49  76 61 6E 20 77 61 69 74  |rother Ivan wait|
000010A0: 73 20 75 6E 74 69 6C 20  38 3A 32 30 2E 20 49 66  |s until 8:20. If|
000010B0: 20 53 61 6D 20 77 61 6C  6B 73 20 31 35 30 20 79  | Sam walks 150 y|
000010C0: 64 2F 6D 69 6E 20 61 6E  64 20 49 76 61 6E 20 77  |d/min and Ivan w|
000010D0: 61 6C 6B 73 20 74 77 69  63 65 20 61 73 20 66 61  |alks twice as fa|
000010E0: 73 74 2E 20 49 66 20 74  68 65 79 20 61 72 72 69  |st. If they arri|
000010F0: 76 65 20 61 74 20 74 68  65 20 73 61 6D 65 20 74  |ve at the same t|
00001100: 69 6D 65 2C 20 68 6F 77  20 6D 75 63 68 20 74 69  |ime, how much ti|
00001110: 6D 65 20 64 6F 65 73 20  49 76 61 6E 20 73 70 65  |me does Ivan spe|
00001120: 6E 64 20 77 61 6C 6B 69  6E 67 3F 00 53 61 6D 00  |nd walking?.Sam.|
00001130: 49 76 61 6E 00 49 76 61  6E 20 61 6E 64 20 53 61  |Ivan.Ivan and Sa|
00001140: 6D 20 77 61 6C 6B 20 61  74 20 64 69 66 66 65 72  |m walk at differ|
00001150: 65 6E 74 20 72 61 74 65  73 20 66 6F 72 20 74 68  |ent rates for th|
00001160: 65 20 73 61 6D 65 20 6C  65 6E 67 74 68 20 6F 66  |e same length of|
00001170: 20 74 69 6D 65 00 26 68  48 6F 77 20 6D 75 63 68  | time.&hHow much|
00001180: 20 74 69 6D 65 20 64 6F  65 73 20 49 76 61 6E 20  | time does Ivan |
00001190: 73 70 65 6E 64 20 77 61  6C 6B 69 6E 67 3F 26 68  |spend walking?&h|
000011A0: 00 73 00 53 61 6D 27 73  00 69 00 49 76 61 6E 27  |.s.Sam's.i.Ivan'|
000011B0: 73 00 73 00 69 00 54 68  65 20 62 6F 79 73 00 77  |s.s.i.The boys.w|
000011C0: 61 6C 6B 00 73 00 69 00  74 68 65 20 62 6F 79 73  |alk.s.i.the boys|
000011D0: 00 77 61 6C 6B 00 73 20  3D 20 44 69 00 54 68 65  |.walk.s = Di.The|
000011E0: 20 62 6F 79 73 00 73 00  69 00 53 61 6D 27 73 00  | boys.s.i.Sam's.|
000011F0: 49 76 61 6E 27 73 00 79  61 72 64 73 20 70 65 72  |Ivan's.yards per|
00001200: 20 6D 69 6E 75 74 65 20  28 60 79 64 2F 6D 69 6E  | minute (`yd/min|
00001210: 27 29 00 36 00 79 64 2F  6D 69 6E 00 6D 69 6E 75  |').6.yd/min.minu|
00001220: 74 65 73 20 28 60 6D 69  6E 27 29 00 33 00 6D 69  |tes (`min').3.mi|
00001230: 6E 00 79 61 72 64 73 20  28 60 79 64 27 29 00 32  |n.yards (`yd').2|
00001240: 00 79 64 00 26 68 53 61  6D 20 77 61 6C 6B 73 20  |.yd.&hSam walks |
00001250: 31 35 30 20 79 64 2F 6D  69 6E 26 68 2E 00 53 61  |150 yd/min&h..Sa|
00001260: 6D 27 73 20 72 61 74 65  20 69 73 20 60 31 35 30  |m's rate is `150|
00001270: 27 20 79 64 2F 6D 69 6E  2E 00 31 35 30 00 26 68  |' yd/min..150.&h|
00001280: 49 76 61 6E 20 77 61 6C  6B 73 20 74 77 69 63 65  |Ivan walks twice|
00001290: 20 61 73 20 66 61 73 74  26 68 20 61 73 20 53 61  | as fast&h as Sa|
000012A0: 6D 2C 20 61 6E 64 20 53  61 6D 20 77 61 6C 6B 73  |m, and Sam walks|
000012B0: 20 31 35 30 20 79 64 2F  6D 69 6E 2E 00 53 69 6E  | 150 yd/min..Sin|
000012C0: 63 65 20 49 76 61 6E 27  73 20 72 61 74 65 20 69  |ce Ivan's rate i|
000012D0: 73 20 74 77 69 63 65 20  53 61 6D 27 73 20 72 61  |s twice Sam's ra|
000012E0: 74 65 2C 20 49 76 61 6E  20 77 61 6C 6B 73 20 60  |te, Ivan walks `|
000012F0: 33 30 30 27 20 79 64 2F  6D 69 6E 2E 00 33 30 30  |300' yd/min..300|
00001300: 00 62 6F 79 20 73 70 65  6E 64 73 20 77 61 6C 6B  |.boy spends walk|
00001310: 69 6E 67 00 49 76 61 6E  20 77 61 6C 6B 73 20 66  |ing.Ivan walks f|
00001320: 6F 72 00 53 61 6D 00 69  00 6D 69 6E 75 74 65 73  |or.Sam.i.minutes|
00001330: 20 49 76 61 6E 20 77 61  6C 6B 73 00 31 31 00 53  | Ivan walks.11.S|
00001340: 61 6D 20 73 70 65 6E 64  73 20 77 61 6C 6B 69 6E  |am spends walkin|
00001350: 67 00 49 76 61 6E 27 73  20 74 69 6D 65 00 53 69  |g.Ivan's time.Si|
00001360: 6E 63 65 20 53 61 6D 20  6C 65 61 76 65 73 20 32  |nce Sam leaves 2|
00001370: 30 20 6D 69 6E 75 74 65  73 20 62 65 66 6F 72 65  |0 minutes before|
00001380: 20 49 76 61 6E 2C 20 68  65 20 77 61 6C 6B 73 20  | Ivan, he walks |
00001390: 66 6F 72 20 32 30 20 6D  6F 72 65 20 6D 69 6E 75  |for 20 more minu|
000013A0: 74 65 73 2E 20 60 26 76  2B 32 30 27 20 69 73 20  |tes. `&v+20' is |
000013B0: 53 61 6D 27 73 20 74 69  6D 65 2E 00 31 30 00 26  |Sam's time..10.&|
000013C0: 76 2B 32 30 00 60 31 35  30 20 5C 66 30 36 2A 20  |v+20.`150 \f06* |
000013D0: 28 26 76 2B 32 30 29 27  20 5C 66 31 35 3D 20 53  |(&v+20)' \f15= S|
000013E0: 61 6D 27 73 00 31 35 30  28 26 76 2B 32 30 29 00  |am's.150(&v+20).|
000013F0: 60 33 30 30 20 5C 66 30  36 2A 20 20 26 76 27 20  |`300 \f06*  &v' |
00001400: 5C 66 31 34 3D 20 49 76  61 6E 27 73 20 44 69 73  |\f14= Ivan's Dis|
00001410: 74 2E 00 33 30 30 26 76  00 73 00 69 00 73 00 69  |t..300&v.s.i.s.i|
00001420: 00 73 00 31 35 30 28 26  76 2B 32 30 29 00 69 00  |.s.150(&v+20).i.|
00001430: 33 30 30 26 76 00 53 61  6D 20 61 6E 64 20 49 76  |300&v.Sam and Iv|
00001440: 61 6E 20 77 61 6C 6B 20  74 68 65 20 73 61 6D 65  |an walk the same|
00001450: 20 64 69 73 74 61 6E 63  65 2C 20 73 6F 20 74 68  | distance, so th|
00001460: 65 20 65 71 75 61 74 69  6F 6E 20 69 73 20 60 31  |e equation is `1|
00001470: 35 30 28 26 76 2B 32 30  29 20 3D 20 33 30 30 26  |50(&v+20) = 300&|
00001480: 76 27 00 31 35 30 28 26  76 2B 32 30 29 3D 33 30  |v'.150(&v+20)=30|
00001490: 30 26 76 00 32 30 00 48  6F 77 20 6D 75 63 68 20  |0&v.20.How much |
000014A0: 74 69 6D 65 20 64 6F 65  73 20 49 76 61 6E 20 73  |time does Ivan s|
000014B0: 70 65 6E 64 20 77 61 6C  6B 69 6E 67 3F 00 49 76  |pend walking?.Iv|
000014C0: 61 6E 00 49 76 61 6E 00  32 30 00 32 30 00 32 30  |an.Ivan.20.20.20|
000014D0: 00 53 61 6D 27 73 00 26  76 2B 32 30 20 72 65 70  |.Sam's.&v+20 rep|
000014E0: 72 65 73 65 6E 74 73 20  53 61 6D 27 73 20 74 69  |resents Sam's ti|
000014F0: 6D 65 20 61 6E 64 20 26  76 20 3D 20 32 30 2C 20  |me and &v = 20, |
00001500: 73 6F 20 53 61 6D 20 77  61 6C 6B 73 20 66 6F 72  |so Sam walks for|
00001510: 20 60 34 30 27 20 6D 69  6E 75 74 65 73 2E 00 31  | `40' minutes..1|
00001520: 30 00 34 30 00 53 61 6D  27 73 00 31 35 30 28 26  |0.40.Sam's.150(&|
00001530: 76 2B 32 30 29 20 72 65  70 72 65 73 65 6E 74 73  |v+20) represents|
00001540: 20 53 61 6D 27 73 20 64  69 73 74 61 6E 63 65 20  | Sam's distance |
00001550: 61 6E 64 20 26 76 3D 32  30 2C 20 73 6F 20 53 61  |and &v=20, so Sa|
00001560: 6D 27 73 20 64 69 73 74  61 6E 63 65 20 69 73 20  |m's distance is |
00001570: 31 35 30 2A 34 30 2C 20  6F 72 20 60 36 30 30 30  |150*40, or `6000|
00001580: 27 20 79 61 72 64 73 00  36 30 30 30 00 49 76 61  |' yards.6000.Iva|
00001590: 6E 27 73 00 33 30 30 26  76 20 72 65 70 72 65 73  |n's.300&v repres|
000015A0: 65 6E 74 73 20 49 76 61  6E 27 73 20 64 69 73 74  |ents Ivan's dist|
000015B0: 61 6E 63 65 20 61 6E 64  20 26 76 3D 32 30 2C 20  |ance and &v=20, |
000015C0: 73 6F 20 49 76 61 6E 27  73 20 64 69 73 74 61 6E  |so Ivan's distan|
000015D0: 63 65 20 69 73 20 33 30  30 2A 32 30 2C 20 6F 72  |ce is 300*20, or|
000015E0: 20 60 36 30 30 30 27 20  79 61 72 64 73 20 61 6C  | `6000' yards al|
000015F0: 73 6F 2E 00 36 30 30 30  00 53 61 6D 27 73 00 49  |so..6000.Sam's.I|
00001600: 76 61 6E 27 73 00 7C 65                           |van'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 
D{} = {} DISTANCE. WRITE AN EQUATION THA
T RELATES D{} TO D{}.@H{} BOTH {} THE SA
ME DISTANCE.@H`D{} = D{}' SHOWS THAT {} 
BOTH {} THE SAME DISTANCE.@I(16,C0, )@PO
NE ANSWER IS `D{}'. CHANGE YOUR ANSWER I
F IT IS NOT EQUIVALENT. (PRESS RETURN)@H
{} BOTH TRAVEL THE SAME DISTANCE.@H`D{}=
D{}' SHOWS THAT {} DISTANCE IS EQUAL TO 
{} DISTANCE.@I(16,C0, )@RDATA ENTRY@PFIL
L IN THE UNITS BY WHICH RATE, TIME AND D
ISTANCE ARE MEASURED. (USE ABBREVIATED F
ORM.)@HRATE IS COMMONLY MEASURED IN MILE
S PER HOUR(MI/HR), FEET PER SECOND (FT/S
EC), METERS PER KILOMETER (M/KM), ETC.@H
THE RATE OF SPEED IN THIS PROBLEM IS MEA
SURED IN {}.@I(5,C{},{})@HTIME IS COMMON
LY MEASURED IN SECONDS (SEC), MINUTES (M
IN), HOURS (HR), DAYS (DA), ETC.@HTIME I
N THIS PROBLEM IS MEASURED IN {}.@I(9,C{
},{})@HDISTANCE IS COMMONLY MEASURED IN 
FEET (FT), YARDS (YD), MILES (MI), METER
S (M), KILOMETERS (KM), ETC.@HDISTANCE I
N THIS PROBLEM IS MEASURED IN {}.@I(13,C
{},{})@PENTER THE FACTS FROM THE PROBLEM
 INTO THE GRID.@H{}@H{}@I(6,I,{})@H{}@H{
}@I(7,I,{})@PREPRESENT THE TIME EACH {}.
@HUSE A VARIABLE TO REPRESENT THE SMALLE
R AMOUNT OF TIME. IN THIS CASE, {} LESS 
TIME THAN {}.@HUSE A VARIABLE, SUCH AS `
{}' TO REPRESENT THE NUMBER OF {}.@I({},
I,&V)@HREPRESENT THE TIME {} IN TERMS OF
 "&V", {}.@H{}@I({},I,{})@RPARTS@PWRITE 
AN EXPRESSION TO REPRESENT TBE DISTANCE 
TRAVELLED BY EACH VEHICLE.@HRATE*TIME = 
DISTANCE@HRATE  \F06* TIME  \F15= DISTAN
CE \N{}@I(14,I,{})@HRATE*TIME = DISTANCE
@HRATE \F06* TIME \F15= DISTANCE \N{}@I(
15,I,{})@RWHOLE&D(16, )@PSUBSTITUTE YOUR
 EXPRESSIONS FOR D{} AND D{} IN THE EQUA
TION : D{} = D{}@HD{} = {} AND D{} = {}.
@H{}@I(16,I,{})@S@RCOMPUTE@PSOLVE THE EQ
UATION FOR "&V". USE PAPER AND PENCIL AN
D ENTER THE FINAL EQUATIONS OR USE THE C
ALCULATOR.@HISOLATE "&V" ON ONE SIDE OF 
THE EQUATION.@HTHE CALCULATOR SOLVES EQU
ATIONS FOR YOU AND DISPLAYS THE STEPS IN
 THE SOLUTION.@I(16,I,&V={})@PENTER YOUR
 ANSWER TO THE PROBLEM IN THE GRID. REME
MBER THE QUESTION. &Q{}&Q&W(16)@HTHE TIM
E FOR {} IS THE VALUE OF "&V".@HTHE TIME
 FOR {} IS THE VALUE OF "&V". &V = {}, S
O ENTER '{}'.@I(11,I,{})@S@RCHECK@PREREA
D THE PROBLEM. CHECK YOUR ANSWERS. EVALU
ATE THE REMAINING EXPRESSIONS IN THE CHA
RT.@HSUBSTITUTE FOR "&V" IN THE EXPRESSI
ON FOR {} TIME. THEN CALCULATE THE RESUL
T.@H{}@I({},I,{})@HSUBSTITUTE FOR "&V" I
N THE EXPRESSION FOR {} DISTANCE. THEN C
ALCULATE THE RESULT.@H{}@I(14,I,{})@HSUB
STITUTE FOR "&V" IN THE EXPRESSION FOR {
} DISTANCE. THEN CALCULATE THE RESULT.@H
{}@I(15,I,{})&D(0,CHECK YOUR WORK. {} DI
STANCE SHOULD EQUAL {} DISTANCE. (ON TO 
A NEW PROBLEM.))@FA TOW TRUCK TRAVELLING
 40 MI/HR LEFT NEW YORK AT 6 PM. AT 8 PM
 A CAR TRAVELLING 60 MI/HR BEGINS TRAVEL
LING THE SAME ROAD. HOW LONG WILL IT TAK
E THE CAR TO CATCH UP TO THE TRUCK?.TRUC
K.CAR.THE TOW TRUCK TRAVELS AT A FASTER 
RATE FOR 2 HOURS MORE THAN THE CAR.&HHOW
 LONG WILL IT TAKE THE CAR TO CATCH UP T
O THE TRUCK?&H.T.THE TRUCK'S.C.THE CAR'S
.T.C.THE TRUCK AND THE CAR.TRAVEL.T.C.TH
E TRUCK AND THE CAR.TRAVEL.T = DC.THE TR
UCK AND THE CAR.T.C.THE TRUCK'S.THE CAR'
S.MILES PER HOUR (`MI/HR').5.MI/HR.HOURS
 (`HR').2.HR.MILES (`MI').2.MI.THE TOW T
RUCK TRAVELS AT 40 MI/HR..THE RATE OF SP
EED FOR THE TRUCK IS `40' MI/HR..40.THE 
CAR TRAVELS AT 60 MI/HR..THE RATE OF SPE
ED FOR THE CAR IS `60' MI/HR..60.VEHICLE
 TRAVELS.THE CAR TRAVELS.THE TRUCK.C.HOU
RS THE CAR TRAVELS.11.THE TRUCK TRAVELS.
(THE TIME THE CAR TRAVELS).THE TRUCK LEF
T 2 HOURS BEFORE THE CAR. THE TRUCK TRAV
ELS 2 HOURS MORE THAN THE CAR. `&V+2' IS
 THE TRUCK'S TIME..10.&V+2.` 40  \F06* (
&V+2)\F14= DISTANCE.40(&V+2).`60 \F06*  
&V'  \F14= DISTANCE.60&V.T.C.T.C.T.40(&V
+2).C.60&V.`40(&V+2) = 60&V' IS THE EQUA
TION..40(&V+2)=60&V.4.HOW LONG WILL IT T
AKE THE CAR TO CATCH UP TO THE TRUCK?.TH
E CAR.THE CAR.4.4.4.THE TRUCK'S.THE TRUC
K TOOK &V+2 HOURS, WHICH EQUALS '6' HOUR
S..10.6.TRUCK'S.THE TRUCK DROVE 40(&V+2)
 MILES, WHICH EQUALS '240' MILES..240.CA
R'S.THE CAR DROVE 60&V MILES, WHICH EQUA
LS '240' MILES..240.THE TRUCK'S.THE CAR'
S.@FSAM GOES TO SCHOOL AT 8AM, BUT HIS B
ROTHER IVAN WAITS UNTIL 8:20. IF SAM WAL
KS 150 YD/MIN AND IVAN WALKS TWICE AS FA
ST. IF THEY ARRIVE AT THE SAME TIME, HOW
 MUCH TIME DOES IVAN SPEND WALKING?.SAM.
IVAN.IVAN AND SAM WALK AT DIFFERENT RATE
S FOR THE SAME LENGTH OF TIME.&HHOW MUCH
 TIME DOES IVAN SPEND WALKING?&H.S.SAM'S
.I.IVAN'S.S.I.THE BOYS.WALK.S.I.THE BOYS
.WALK.S = DI.THE BOYS.S.I.SAM'S.IVAN'S.Y
ARDS PER MINUTE (`YD/MIN').6.YD/MIN.MINU
TES (`MIN').3.MIN.YARDS (`YD').2.YD.&HSA
M WALKS 150 YD/MIN&H..SAM'S RATE IS `150
' YD/MIN..150.&HIVAN WALKS TWICE AS FAST
&H AS SAM, AND SAM WALKS 150 YD/MIN..SIN
CE IVAN'S RATE IS TWICE SAM'S RATE, IVAN
 WALKS `300' YD/MIN..300.BOY SPENDS WALK
ING.IVAN WALKS FOR.SAM.I.MINUTES IVAN WA
LKS.11.SAM SPENDS WALKING.IVAN'S TIME.SI
NCE SAM LEAVES 20 MINUTES BEFORE IVAN, H
E WALKS FOR 20 MORE MINUTES. `&V+20' IS 
SAM'S TIME..10.&V+20.`150 \F06* (&V+20)'
 \F15= SAM'S.150(&V+20).`300 \F06*  &V' 
\F14= IVAN'S DIST..300&V.S.I.S.I.S.150(&
V+20).I.300&V.SAM AND IVAN WALK THE SAME
 DISTANCE, SO THE EQUATION IS `150(&V+20
) = 300&V'.150(&V+20)=300&V.20.HOW MUCH 
TIME DOES IVAN SPEND WALKING?.IVAN.IVAN.
20.20.20.SAM'S.&V+20 REPRESENTS SAM'S TI
ME AND &V = 20, SO SAM WALKS FOR `40' MI
NUTES..10.40.SAM'S.150(&V+20) REPRESENTS
 SAM'S DISTANCE AND &V=20, SO SAM'S DIST
ANCE IS 150*40, OR `6000' YARDS.6000.IVA
N'S.300&V REPRESENTS IVAN'S DISTANCE AND
 &V=20, SO IVAN'S DISTANCE IS 300*20, OR
 `6000' YARDS ALSO..6000.SAM'S.IVAN'S.|E
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