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16 Feb 2016, 01:02
Kudos
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A
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Difficulty:
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Question Stats:
85% (01:24) correct
15%
(01:55)
wrong
based on 551
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Train A is traveling at 40 miles per hour and Train B is traveling on a parallel track in the same direction at 60 miles per hour. Currently, Train A is 15 miles ahead of Train B. How many minutes will it take Train B to catch up with Train A?
A. 45
B. 60
C. 75
D. 80
E. 90
A. 45
B. 60
C. 75
D. 80
E. 90
Updated on: 01 Apr 2020, 05:31
Originally posted by BrentGMATPrepNow on 09 Jun 2017, 10:33.
Last edited by BrentGMATPrepNow on 01 Apr 2020, 05:31, edited 1 time in total.
Last edited by BrentGMATPrepNow on 01 Apr 2020, 05:31, edited 1 time in total.
Kudos
Bookmarks
Bunuel
Train A is traveling at 40 miles per hour and Train B is traveling on a parallel track in the same direction at 60 miles per hour. Currently, Train A is 15 miles ahead of Train B. How many minutes will it take Train B to catch up with Train A?
A. 45
B. 60
C. 75
D. 80
E. 90
A. 45
B. 60
C. 75
D. 80
E. 90
I call this a shrinking gap question.
Currently, Train A is 15 miles ahead of Train B.
So, the GAP = 15 miles
Train A is traveling at 40 miles per hour and Train B is traveling on a parallel track in the same direction at 60 miles per hour.
Speed difference = 60 mph - 40 mph = 20 miles per hour
So, the GAP shrinks at a rate of 20 miles per hour
How many minutes will it take Train B to catch up with Train A?
In others how long will it take the GAP to decrease from 15 miles to 0 miles.
Time = distance/rate
= (15 miles)/(20 miles per hour)
= 3/4 HOURS
= 45 minutes
Answer:
General Discussion
17 Feb 2016, 03:41
Kudos
Bookmarks
Bunuel
Train A is traveling at 40 miles per hour and Train B is traveling on a parallel track in the same direction at 60 miles per hour. Currently, Train A is 15 miles ahead of Train B. How many minutes will it take Train B to catch up with Train A?
A. 45
B. 60
C. 75
D. 80
E. 90
A. 45
B. 60
C. 75
D. 80
E. 90
One approach
relative speed=60-40 =20 (same direction)
time = 15/20 *60 =45 min
other approach
0 hr 30 min 45min
A mile 15 35 45 (train A moves 40 miles in each hr so it moves 20 miles in 30 min and 10 mile in 15 min)
B mile 0 30 45 (train B moves 60 miles in each hr so it moves 30 miles in 30 min and 15 mile in 15 min)
Answer: A
