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

DIST2L3

FILE INFORMATION

FILENAME(S): DIST2L3

FILE TYPE(S): PRG

FILE SIZE: 5.6K

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

APPEARS ON: 1 disk(s)

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HHM 100785 43S1 DIST2L3 PRG Radd Maxx 13 0 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

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00000DB0: 6E 27 73 20 64 69 73 74  61 6E 63 65 2E 00 60 44  |n's distance..`D|
00000DC0: 65 2B 34 2E 35 3D 44 6A  27 00 69 66 20 45 6C 6C  |e+4.5=Dj'.if Ell|
00000DD0: 65 6E 27 73 00 34 2E 35  20 6D 69 6C 65 73 00 4A  |en's.4.5 miles.J|
00000DE0: 6F 68 6E 27 73 00 65 2B  34 2E 35 00 6A 00 6D 69  |ohn's.e+4.5.j.mi|
00000DF0: 6C 65 73 20 70 65 72 20  68 6F 75 72 20 28 60 6D  |les per hour (`m|
00000E00: 69 2F 68 72 27 29 00 35  00 6D 69 2F 68 72 00 68  |i/hr').5.mi/hr.h|
00000E10: 6F 75 72 73 2E 20 28 60  68 72 27 29 00 32 00 68  |ours. (`hr').2.h|
00000E20: 72 00 6D 69 6C 65 73 2E  20 28 60 6D 69 27 29 00  |r.miles. (`mi').|
00000E30: 32 00 6D 69 00 26 68 45  6C 6C 65 6E 20 72 75 6E  |2.mi.&hEllen run|
00000E40: 73 20 61 74 20 61 20 72  61 74 65 20 6F 66 20 39  |s at a rate of 9|
00000E50: 20 6D 69 2F 68 72 26 68  2E 00 45 6C 6C 65 6E 27  | mi/hr&h..Ellen'|
00000E60: 73 20 72 61 74 65 20 6F  66 20 73 70 65 65 64 20  |s rate of speed |
00000E70: 69 73 20 60 39 27 20 6D  69 2F 68 72 2E 00 39 00  |is `9' mi/hr..9.|
00000E80: 4A 6F 68 6E 20 62 69 63  79 63 6C 65 73 20 61 74  |John bicycles at|
00000E90: 20 61 20 72 61 74 65 20  6F 66 20 26 68 31 38 20  | a rate of &h18 |
00000EA0: 6D 69 2F 68 72 26 68 2E  00 4A 6F 68 6E 27 73 20  |mi/hr&h..John's |
00000EB0: 72 61 74 65 20 6F 66 20  73 70 65 65 64 20 69 73  |rate of speed is|
00000EC0: 20 60 31 38 27 20 6D 69  2F 68 72 2E 00 31 38 00  | `18' mi/hr..18.|
00000ED0: 70 65 72 73 6F 6E 20 74  72 61 76 65 6C 73 00 45  |person travels.E|
00000EE0: 6C 6C 65 6E 20 61 6E 64  20 4A 6F 68 6E 20 74 72  |llen and John tr|
00000EF0: 61 76 65 6C 00 74 00 61  6D 6F 75 6E 74 20 6F 66  |avel.t.amount of|
00000F00: 20 74 69 6D 65 20 45 6C  6C 65 6E 20 72 61 6E 20  | time Ellen ran |
00000F10: 61 6C 6F 6E 65 00 74 68  61 74 20 4A 6F 68 6E 20  |alone.that John |
00000F20: 62 69 63 79 63 6C 65 64  20 61 6C 6F 6E 65 00 45  |bicycled alone.E|
00000F30: 6C 6C 65 6E 20 72 61 6E  20 61 6C 6F 6E 65 00 74  |llen ran alone.t|
00000F40: 72 61 76 65 6C 6C 65 64  20 61 6C 6F 6E 65 00 4A  |ravelled alone.J|
00000F50: 6F 68 6E 27 73 00 74 68  61 74 20 65 61 63 68 20  |ohn's.that each |
00000F60: 70 65 72 73 6F 6E 20 74  72 61 76 65 6C 6C 65 64  |person travelled|
00000F70: 00 20 60 39 20 20 5C 66  30 36 2A 20 20 20 5C 66  |. `9  \f06*   \f|
00000F80: 30 38 20 26 76 27 20 5C  66 31 33 3D 20 45 6C 6C  |08 &v' \f13= Ell|
00000F90: 65 6E 27 73 20 64 69 73  74 2E 00 39 26 76 00 20  |en's dist..9&v. |
00000FA0: 60 31 38 20 20 20 5C 66  30 36 2A 20 20 5C 66 30  |`18   \f06*  \f0|
00000FB0: 38 26 76 27 20 20 5C 66  31 33 3D 20 4A 6F 68 6E  |8&v'  \f13= John|
00000FC0: 27 73 20 64 69 73 74 2E  00 31 38 26 76 00 65 00  |'s dist..18&v.e.|
00000FD0: 6A 00 65 2B 34 2E 35 00  6A 00 65 00 39 26 76 00  |j.e+4.5.j.e.9&v.|
00000FE0: 6A 00 31 38 26 76 00 60  39 26 76 20 2B 20 34 2E  |j.18&v.`9&v + 4.|
00000FF0: 35 20 3D 20 31 38 26 76  27 00 4A 6F 68 6E 27 73  |5 = 18&v'.John's|
00001000: 00 34 2E 35 20 6D 69 6C  65 73 00 45 6C 6C 65 6E  |.4.5 miles.Ellen|
00001010: 27 73 00 39 26 76 2B 34  2E 35 3D 31 38 26 76 00  |'s.9&v+4.5=18&v.|
00001020: 31 2F 32 00 48 6F 77 20  6C 6F 6E 67 20 77 69 6C  |1/2.How long wil|
00001030: 6C 20 69 74 20 74 61 6B  65 20 4A 6F 68 6E 20 74  |l it take John t|
00001040: 6F 20 67 65 74 20 34 2E  35 20 6D 69 6C 65 73 20  |o get 4.5 miles |
00001050: 61 68 65 61 64 20 6F 66  20 45 6C 6C 65 6E 2E 00  |ahead of Ellen..|
00001060: 62 6F 74 68 20 4A 6F 68  6E 20 61 6E 64 20 45 6C  |both John and El|
00001070: 6C 65 6E 00 62 6F 74 68  20 4A 6F 68 6E 20 61 6E  |len.both John an|
00001080: 64 20 45 6C 6C 65 6E 00  2E 35 00 60 2E 35 27 20  |d Ellen..5.`.5' |
00001090: 6F 72 20 60 31 2F 32 27  20 68 72 00 31 2F 32 00  |or `1/2' hr.1/2.|
000010A0: 2E 35 00 45 6C 6C 65 6E  27 73 00 39 26 76 00 45  |.5.Ellen's.9&v.E|
000010B0: 6C 6C 65 6E 27 73 00 2E  35 2C 20 73 6F 20 2E 35  |llen's..5, so .5|
000010C0: 20 2A 20 39 2C 20 6F 72  20 60 34 2E 35 27 20 6D  | * 9, or `4.5' m|
000010D0: 69 6C 65 73 20 69 73 20  74 68 65 20 64 69 73 74  |iles is the dist|
000010E0: 61 6E 63 65 20 74 68 61  74 20 45 6C 6C 65 6E 20  |ance that Ellen |
000010F0: 72 61 6E 20 61 6C 6F 6E  65 2E 00 34 2E 35 00 4A  |ran alone..4.5.J|
00001100: 6F 68 6E 27 73 00 31 38  26 76 00 4A 6F 68 6E 27  |ohn's.18&v.John'|
00001110: 73 00 2E 35 2C 20 73 6F  20 2E 35 20 2A 20 31 38  |s..5, so .5 * 18|
00001120: 2C 20 6F 72 20 60 39 27  20 6D 69 6C 65 73 20 69  |, or `9' miles i|
00001130: 73 20 74 68 65 20 64 69  73 74 61 6E 63 65 20 74  |s the distance t|
00001140: 68 61 74 20 4A 6F 68 6E  20 72 6F 64 65 20 61 6C  |hat John rode al|
00001150: 6F 6E 65 2E 00 39 00 45  6C 6C 65 6E 27 73 00 34  |one..9.Ellen's.4|
00001160: 2E 35 00 4A 6F 68 6E 27  73 00 40 66 4A 75 61 6E  |.5.John's.@fJuan|
00001170: 20 61 6E 64 20 41 6C 20  62 6F 74 68 20 62 65 67  | and Al both beg|
00001180: 69 6E 20 64 72 69 76 69  6E 67 20 77 65 73 74 20  |in driving west |
00001190: 66 72 6F 6D 20 42 75 66  66 61 6C 6F 20 61 74 20  |from Buffalo at |
000011A0: 74 68 65 20 73 61 6D 65  20 74 69 6D 65 2E 20 49  |the same time. I|
000011B0: 66 20 4A 75 61 6E 20 64  72 69 76 65 73 20 35 32  |f Juan drives 52|
000011C0: 20 6D 69 2F 68 72 20 61  6E 64 20 41 6C 20 64 72  | mi/hr and Al dr|
000011D0: 69 76 65 73 20 34 34 20  6D 69 2F 68 72 2C 20 61  |ives 44 mi/hr, a|
000011E0: 66 74 65 72 20 68 6F 77  20 6D 75 63 68 20 74 69  |fter how much ti|
000011F0: 6D 65 20 77 69 6C 6C 20  4A 75 61 6E 20 62 65 20  |me will Juan be |
00001200: 34 32 20 6D 69 6C 65 73  20 61 68 65 61 64 20 6F  |42 miles ahead o|
00001210: 66 20 41 6C 3F 00 4A 75  61 6E 00 41 6C 00 4A 75  |f Al?.Juan.Al.Ju|
00001220: 61 6E 20 64 72 69 76 65  73 20 61 74 20 35 32 20  |an drives at 52 |
00001230: 6D 69 2F 68 72 20 61 6E  64 20 41 6C 20 64 72 69  |mi/hr and Al dri|
00001240: 76 65 73 20 61 74 20 34  34 20 6D 69 2F 68 72 20  |ves at 44 mi/hr |
00001250: 75 6E 74 69 6C 20 74 68  65 79 20 61 72 65 20 34  |until they are 4|
00001260: 32 20 6D 69 6C 65 73 20  61 70 61 72 74 00 26 68  |2 miles apart.&h|
00001270: 41 66 74 65 72 20 68 6F  77 20 6D 75 63 68 20 74  |After how much t|
00001280: 69 6D 65 20 77 69 6C 6C  20 4A 75 61 6E 20 62 65  |ime will Juan be|
00001290: 20 34 32 20 6D 69 6C 65  73 20 61 68 65 61 64 20  | 42 miles ahead |
000012A0: 6F 66 20 41 6C 3F 26 68  00 6A 00 4A 75 61 6E 27  |of Al?&h.j.Juan'|
000012B0: 73 00 61 00 41 6C 27 73  00 6A 00 61 00 4A 75 61  |s.a.Al's.j.a.Jua|
000012C0: 6E 20 77 69 6C 6C 20 62  65 20 34 32 20 6D 69 6C  |n will be 42 mil|
000012D0: 65 73 20 61 68 65 61 64  20 6F 66 20 41 6C 2E 00  |es ahead of Al..|
000012E0: 60 44 61 2B 34 32 3D 44  6A 27 00 69 66 20 41 6C  |`Da+42=Dj'.if Al|
000012F0: 27 73 00 34 32 20 6D 69  6C 65 73 00 4A 75 61 6E  |'s.42 miles.Juan|
00001300: 27 73 00 61 2B 34 32 00  6A 00 44 61 2B 34 32 20  |'s.a+42.j.Da+42 |
00001310: 3D 20 44 6A 00 4A 75 61  6E 20 77 69 6C 6C 20 62  |= Dj.Juan will b|
00001320: 65 20 34 32 20 6D 69 6C  65 73 20 61 68 65 61 64  |e 42 miles ahead|
00001330: 20 6F 66 20 41 6C 2E 00  60 44 61 2B 34 32 20 3D  | of Al..`Da+42 =|
00001340: 20 44 6A 27 00 69 66 20  41 6C 27 73 00 34 32 20  | Dj'.if Al's.42 |
00001350: 6D 69 6C 65 73 00 4A 75  61 6E 27 73 00 61 2B 34  |miles.Juan's.a+4|
00001360: 32 00 6A 00 6E 75 6D 62  65 72 20 6F 66 20 6D 69  |2.j.number of mi|
00001370: 6C 65 73 20 64 72 69 76  65 6E 20 69 6E 20 31 20  |les driven in 1 |
00001380: 68 6F 75 72 20 28 60 6D  69 2F 68 72 27 29 00 35  |hour (`mi/hr').5|
00001390: 00 6D 69 2F 68 72 00 68  6F 75 72 73 20 28 60 68  |.mi/hr.hours (`h|
000013A0: 72 27 29 2E 00 32 00 68  72 00 6D 69 6C 65 73 20  |r')..2.hr.miles |
000013B0: 28 60 6D 69 27 29 2E 00  32 00 6D 69 00 26 68 4A  |(`mi')..2.mi.&hJ|
000013C0: 75 61 6E 20 64 72 69 76  65 73 20 35 32 20 6D 69  |uan drives 52 mi|
000013D0: 2F 68 72 26 68 2E 00 4A  75 61 6E 27 73 20 72 61  |/hr&h..Juan's ra|
000013E0: 74 65 20 6F 66 20 73 70  65 65 64 20 69 73 20 60  |te of speed is `|
000013F0: 35 32 27 20 6D 69 2F 68  72 2E 00 35 32 00 26 68  |52' mi/hr..52.&h|
00001400: 41 6C 20 64 72 69 76 65  73 20 34 34 20 6D 69 2F  |Al drives 44 mi/|
00001410: 68 72 26 68 2E 00 41 6C  27 73 20 72 61 74 65 20  |hr&h..Al's rate |
00001420: 6F 66 20 73 70 65 65 64  20 69 73 20 60 34 34 27  |of speed is `44'|
00001430: 20 6D 69 2F 68 72 2E 00  34 34 00 6D 61 6E 20 64  | mi/hr..44.man d|
00001440: 72 69 76 65 73 00 42 6F  74 68 20 6D 65 6E 20 64  |rives.Both men d|
00001450: 72 69 76 65 00 74 00 61  6D 6F 75 6E 74 20 6F 66  |rive.t.amount of|
00001460: 20 74 69 6D 65 20 4A 75  61 6E 20 64 72 69 76 65  | time Juan drive|
00001470: 73 00 41 6C 20 64 72 69  76 65 73 00 4A 75 61 6E  |s.Al drives.Juan|
00001480: 20 64 72 69 76 65 73 00  64 72 69 76 65 00 41 6C  | drives.drive.Al|
00001490: 27 73 00 74 68 61 74 20  65 61 63 68 20 6D 61 6E  |'s.that each man|
000014A0: 20 64 72 6F 76 65 00 60  35 32 20 20 5C 66 30 36  | drove.`52  \f06|
000014B0: 2A 20 20 20 5C 66 30 38  26 76 27 20 20 5C 66 31  |*   \f08&v'  \f1|
000014C0: 33 3D 20 4A 75 61 6E 27  73 20 64 69 73 74 2E 00  |3= Juan's dist..|
000014D0: 35 32 26 76 00 20 60 34  34 20 5C 66 30 36 2A 20  |52&v. `44 \f06* |
000014E0: 20 5C 66 30 38 20 26 76  27 20 5C 66 31 33 3D 20  | \f08 &v' \f13= |
000014F0: 41 6C 27 73 20 64 69 73  74 2E 00 34 34 26 76 00  |Al's dist..44&v.|
00001500: 6A 00 61 00 61 2B 34 32  00 6A 00 6A 00 35 32 26  |j.a.a+42.j.j.52&|
00001510: 76 00 61 00 34 34 26 76  00 60 34 34 26 76 2B 34  |v.a.44&v.`44&v+4|
00001520: 32 20 3D 20 35 32 26 76  27 00 4A 75 61 6E 27 73  |2 = 52&v'.Juan's|
00001530: 00 34 32 20 6D 69 6C 65  73 00 41 6C 27 73 00 34  |.42 miles.Al's.4|
00001540: 34 26 76 2B 34 32 3D 35  32 26 76 00 35 2E 32 35  |4&v+42=52&v.5.25|
00001550: 00 41 66 74 65 72 20 68  6F 77 20 6D 75 63 68 20  |.After how much |
00001560: 74 69 6D 65 20 77 69 6C  6C 20 4A 75 61 6E 20 62  |time will Juan b|
00001570: 65 20 34 32 20 6D 69 6C  65 73 20 61 68 65 61 64  |e 42 miles ahead|
00001580: 20 6F 66 20 41 6C 3F 00  62 6F 74 68 20 4A 75 61  | of Al?.both Jua|
00001590: 6E 20 61 6E 64 20 41 6C  00 4A 75 61 6E 00 35 2E  |n and Al.Juan.5.|
000015A0: 32 35 00 60 35 2E 32 35  00 35 2E 32 35 00 35 2E  |25.`5.25.5.25.5.|
000015B0: 32 35 00 4A 75 61 6E 27  73 00 35 32 26 76 00 4A  |25.Juan's.52&v.J|
000015C0: 75 61 6E 27 73 00 35 2E  32 35 2C 20 73 6F 20 4A  |uan's.5.25, so J|
000015D0: 75 61 6E 20 64 72 6F 76  65 20 35 32 20 2A 20 35  |uan drove 52 * 5|
000015E0: 2E 32 35 2C 20 6F 72 20  60 32 37 33 27 20 6D 69  |.25, or `273' mi|
000015F0: 6C 65 73 2E 00 32 37 33  00 41 6C 27 73 00 34 34  |les..273.Al's.44|
00001600: 26 76 00 41 6C 27 73 00  35 2E 32 35 2C 20 73 6F  |&v.Al's.5.25, so|
00001610: 20 41 6C 20 64 72 6F 76  65 20 34 34 20 2A 20 35  | Al drove 44 * 5|
00001620: 2E 32 35 2C 20 6F 72 20  60 32 33 31 27 20 6D 69  |.25, or `231' mi|
00001630: 6C 65 73 2E 00 32 33 31  00 41 6C 27 73 00 34 32  |les..231.Al's.42|
00001640: 20 6D 69 6C 65 73 00 4A  75 61 6E 27 73 00 7C 73  | miles.Juan's.|s|
 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.@HSUBST
ITUTE FOR "&V" IN THE EXPRESSION FOR {} 
DISTANCE. THEN CALCULATE THE RESULT.@H{}
 REPRESENTS {} DISTANCE AND &V={}@I(14,I
,{})@HSUBSTITUTE FOR "&V" IN THE EXPRESS
ION FOR {} DISTANCE. THEN CALCULATE THE 
RESULT.@H{} REPRESENTS {} DISTANCE AND &
V={}@I(15,I,{})&D(0,CHECK YOUR WORK. {} 
DISTANCE + {} SHOULD EQUAL {} DISTANCE. 
GET READY FOR A NEW PROBLEM.)@FELLEN RUN
S AT A RATE OF 9 MI/HR BESIDE JOHN AS HE
 BICYCLES. AFTER A WHILE, JOHN DECIDES T
O INCREASE HIS RATE TO 18 MI/HR. HOW LON
G WILL IT TAKE JOHN TO GET 4.5 MILES AHE
AD OF ELLEN?.ELLEN.JOHN.ELLEN RUNS AT A 
SPEED OF 9 MI/HR AND JOHN BICYCLES AT 18
 MI/HR, UNTIL THEY ARE 4.5 MILES APART.&
HHOW LONG WILL IT TAKE JOHN TO GET 4.5 M
ILES AHEAD OF ELLEN?&H.E.ELLEN'S.J.JOHN'
S.E.J.JOHN'S DISTANCE WILL BE 4.5 MILES 
GREATER THAN ELLEN'S DISTANCE..`DE+4.5=D
J'.IF ELLEN'S.4.5 MILES.JOHN'S.E+4.5.J.D
E + 4.5 = DJ.JOHN'S DISTANCE WILL BE 4.5
 MILES GREATER THAN ELLEN'S DISTANCE..`D
E+4.5=DJ'.IF ELLEN'S.4.5 MILES.JOHN'S.E+
4.5.J.MILES PER HOUR (`MI/HR').5.MI/HR.H
OURS. (`HR').2.HR.MILES. (`MI').2.MI.&HE
LLEN RUNS AT A RATE OF 9 MI/HR&H..ELLEN'
S RATE OF SPEED IS `9' MI/HR..9.JOHN BIC
YCLES AT A RATE OF &H18 MI/HR&H..JOHN'S 
RATE OF SPEED IS `18' MI/HR..18.PERSON T
RAVELS.ELLEN AND JOHN TRAVEL.T.AMOUNT OF
 TIME ELLEN RAN ALONE.THAT JOHN BICYCLED
 ALONE.ELLEN RAN ALONE.TRAVELLED ALONE.J
OHN'S.THAT EACH PERSON TRAVELLED. `9  \F
06*   \F08 &V' \F13= ELLEN'S DIST..9&V. 
`18   \F06*  \F08&V'  \F13= JOHN'S DIST.
.18&V.E.J.E+4.5.J.E.9&V.J.18&V.`9&V + 4.
5 = 18&V'.JOHN'S.4.5 MILES.ELLEN'S.9&V+4
.5=18&V.1/2.HOW LONG WILL IT TAKE JOHN T
O GET 4.5 MILES AHEAD OF ELLEN..BOTH JOH
N AND ELLEN.BOTH JOHN AND ELLEN..5.`.5' 
OR `1/2' HR.1/2..5.ELLEN'S.9&V.ELLEN'S..
5, SO .5 * 9, OR `4.5' MILES IS THE DIST
ANCE THAT ELLEN RAN ALONE..4.5.JOHN'S.18
&V.JOHN'S..5, SO .5 * 18, OR `9' MILES I
S THE DISTANCE THAT JOHN RODE ALONE..9.E
LLEN'S.4.5.JOHN'S.@FJUAN AND AL BOTH BEG
IN DRIVING WEST FROM BUFFALO AT THE SAME
 TIME. IF JUAN DRIVES 52 MI/HR AND AL DR
IVES 44 MI/HR, AFTER HOW MUCH TIME WILL 
JUAN BE 42 MILES AHEAD OF AL?.JUAN.AL.JU
AN DRIVES AT 52 MI/HR AND AL DRIVES AT 4
4 MI/HR UNTIL THEY ARE 42 MILES APART.&H
AFTER HOW MUCH TIME WILL JUAN BE 42 MILE
S AHEAD OF AL?&H.J.JUAN'S.A.AL'S.J.A.JUA
N WILL BE 42 MILES AHEAD OF AL..`DA+42=D
J'.IF AL'S.42 MILES.JUAN'S.A+42.J.DA+42 
= DJ.JUAN WILL BE 42 MILES AHEAD OF AL..
`DA+42 = DJ'.IF AL'S.42 MILES.JUAN'S.A+4
2.J.NUMBER OF MILES DRIVEN IN 1 HOUR (`M
I/HR').5.MI/HR.HOURS (`HR')..2.HR.MILES 
(`MI')..2.MI.&HJUAN DRIVES 52 MI/HR&H..J
UAN'S RATE OF SPEED IS `52' MI/HR..52.&H
AL DRIVES 44 MI/HR&H..AL'S RATE OF SPEED
 IS `44' MI/HR..44.MAN DRIVES.BOTH MEN D
RIVE.T.AMOUNT OF TIME JUAN DRIVES.AL DRI
VES.JUAN DRIVES.DRIVE.AL'S.THAT EACH MAN
 DROVE.`52  \F06*   \F08&V'  \F13= JUAN'
S DIST..52&V. `44 \F06*  \F08 &V' \F13= 
AL'S DIST..44&V.J.A.A+42.J.J.52&V.A.44&V
.`44&V+42 = 52&V'.JUAN'S.42 MILES.AL'S.4
4&V+42=52&V.5.25.AFTER HOW MUCH TIME WIL
L JUAN BE 42 MILES AHEAD OF AL?.BOTH JUA
N AND AL.JUAN.5.25.`5.25.5.25.5.25.JUAN'
S.52&V.JUAN'S.5.25, SO JUAN DROVE 52 * 5
.25, OR `273' MILES..273.AL'S.44&V.AL'S.
5.25, SO AL DROVE 44 * 5.25, OR `231' MI
LES..231.AL'S.42 MILES.JUAN'S.|S
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