SOLUTION: train a and b is travelling in the same direction on parallel tracks. Train A is travelling at 40 miles per hour and train B is travelling at 48 miles per hour. Train A is passes t
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Question 266580: train a and b is travelling in the same direction on parallel tracks. Train A is travelling at 40 miles per hour and train B is travelling at 48 miles per hour. Train A is passes the station at 6:25 A.M. If train B passes the station at 6:55A.M. at what time will train b catch up to train a. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! train a and b is traveling in the same direction on parallel tracks.
Train A is traveling at 40 miles per hour and train B is traveling at 48 miles per hour.
Train A is passes the station at 6:25 A.M. If train B passes the station at 6:55A.M. at what time will train B catch up to train a.
:
From the given information, we know that train B is 30 min (.5 hr) behind
train A, when train A passes the station.
:
The distance between the trains at this time: .5 * 48 = 24 mi
:
Let t = time required for train B to catch train A
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write a distance equation: Dist = speed * time
:
Train B travel dist = Train A travel dist + 24 mi
48t = 40t + 24
48t - 40t = 24
8t = 24
t =
t = 3 hrs
:
6:25 + 3 hrs = 9:25 am, B catches A
:
:
Check solution by finding the distances (train B travels 24 mi more than train A)
48 * 3 = 144 mi
40 * 3 = 120 mi
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difference = 24 mi
