SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a sta

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Question 262142: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 5:25 A.M. If train B passes the same station at 5:37 A.M, at what time will train B catch up to train A?
Found 2 solutions by mananth, Alan3354:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 5:25 A.M. If train B passes the same station at 5:37 A.M, at what time will train B catch up to train A?
0 solutions
Distance traveled by both the trains is the same.
Speed of A = 40 mph
Speed of B = 60 mph
The difference in speed between the trains = 20 mph
When they pass the same station they are 12 minutes away from each other.
In 60 minutes the gap reduces by 20 miles.
In 12 minutes it will reduce by how much
In 4 minutes B will catch up. Ie at 5.29 A.M

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 60 miles per hour. Train A passes a station at 5:25 A.M. If train B passes the same station at 5:37 A.M, at what time will train B catch up to train A?
----------------
In 12 minutes (537-525) train A goes 8 miles (40 * 12/60).
Train B gains on train A at 20 mph (60-40)
It will take 8/20 hours = 24 minutes to overtake train A.
537 + 24 = 6:01 AM

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