SOLUTION: Train A leaves a station traveling at 40 mph. Six hours later, train B leaves the same station traveling in the same direction at 60 mph. How long does it take for train B to cat

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Question 1115131: Train A leaves a station traveling at 40 mph. Six hours later, train B leaves the same station traveling in the same direction at 60 mph. How long does it take for train B to catch up to train A?
Answer by ikleyn(52776) About Me  (Show Source):
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The distance of the train A from the station is 40*t.


The distance of the train B from the station is 60*(t-6).


At the catching moment the distances are the same


40t = 60*(t-6),

40t = 60t - 360

360 = 60t - 40t

20t = 360  ====>  t = 360%2F20 = 18.


Answer.  It will take train B 18-6 = 12 hours to catch up the train A.

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