Carcass wrote:
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookI call this a
shrinking gap question.
Currently, Train A is 15 miles ahead of Train B. So, the GAP =
15 milesTrain 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 hourSo, the GAP shrinks at a rate of
20 miles per hourHow 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
minutesAnswer: A