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# Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but

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Math Expert
Joined: 02 Sep 2009
Posts: 64070
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 07:41
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35% (medium)

Question Stats:

74% (02:55) correct 26% (03:48) wrong based on 34 sessions

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Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7

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Senior Manager
Joined: 14 Oct 2019
Posts: 403
Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 08:13
time taken by car 1
D=130 km
for 30 km speed =100 , time= 18 mins,
for next 50 km , speed=50 , time= 60 mins
for last 50 km time 120 mins
so total time=198 mins,
for car 2
1st 50 km, speed=100, time=30mins,
next 50 km , speed=50, time=60 minutes
so 90 minutes done
left time=108 minutes or 1.8 hrs
speed =25
Distance covered by car 2=25*1.8=45 km
so, distance left 50-45=5km

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Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 08:17
Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7

Time of Car 1 as well as Car 2 to reach B = (50/100) + (50/50) + (50/25) = 3.5 hours

Time for Car 1 to cover first 20 km = 20/100 = 12 minutes

i.e. we need to find where is Car 2 12 min before it reaches B

In last 12 minutes Car 2 travels distance = 25*(12/60) = 5 km

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Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 08:42
for car 1 ; for the first 20 km it must have covered in 20/100 ; .2 hrs or say 12 mins
given the total time taken for both cars for 150 km distance = ( 50/100+ 50/50 + 50/25) ; 350/100 ; 3.5 hours
car 2 is lagging by 12 mins when car 1 reaches point B
so car 2 must be at a distance of 12*25/60 = 5 km
OPTION C

Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7

Are You Up For the Challenge: 700 Level Questions
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Joined: 03 Jun 2019
Posts: 2889
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 09:08
Bunuel wrote:
Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but car 2 starts from A when car 1 is already 20 km away from A. Each car travels at a speed of 100 kmph for the first 50 km, at 50 kmph for the next 50 km, and at 25 kmph for the last 50 km. What is the distance, in km, between car 2 and B when car 1 reaches B ?

A. 3
B. 4
C. 5
D. 6
E. 7

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A----------50km @100kmph in 30mins---------------P-----------50km @50kmph in 1 hours------------Q-----------50km @25kmph in 2 hours----------B

Total time taken to reach B from A = 3 hours 30 mins

Time taken by car 1 to reach B = 18 mins + 1 hour + 2 hours = 3 hours 18 mins

Distance travelled by car 3 in last 12 mins = 12/60 * 25 = 5 km

IMO C
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Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but  [#permalink]

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07 Apr 2020, 16:16
When car 1 hits first milestone and slows to 50, car 2 is 20miles back
20=100t
t=1/5

car 1 goes 50*1/5 = 10 miles --> car 2 is now 10 miles back

When car 1 hits 2nd miltestone and slows to 25, car 2 is 10miles back
10=50t
t=1/5

25*1/5 = 5 --> car 2 is now only 5 miles back
Re: Points A and B are 150 km apart. Cars 1 and 2 travel from A to B, but   [#permalink] 07 Apr 2020, 16:16