Answers

2015-09-27T14:30:01+08:00

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Let the first train be Train A and the second be Train B

In 15 minutes each has travelled:

Train A       50mph * 1/4 hour = 12.5 miles
Train B       0 miles

We let the time needed to take Train B overtake Train A be x (in hours)

12.5 miles + 50mph * x = 60 mph * x
12.5 + 50x = 60x
12.5 = 10x
1.25 = x

Therefore, after 1 hour and 15 minutes, the second train can overtake the first.
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2015-09-27T17:17:06+08:00

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                            Rate     (Time) =     Distance
Train A:                50           x + 1/4  = 50x + 50/4
Train B:                60           x          = 60x 
   If Train B overtakes Train A, then at that time, they have equal distances. 
                       50x + 12.5 = 60x
                        12.5 = 10x
                        1.25 = x
Answer:     1 hour and 15 minutes
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