Question

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance between the train stations in New York and Boston is 240 miles. The average speed of train A is 60 mph, which is 3 4 of the average speed of train B.

1. How soon will the trains meet
2. How far from New York will the trains meet?

Answer 1

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Explanation:

1. The average speed of train A = 60 mph,

The average speed of train B = 60 / 3/4 = 80 mph

Time it takes for trains to meet = 240/(60 + 80) = 240/140 = 12/7 hours

2. The trains meet in 12/7 hours, each traveling at their own speed.

S = D/T, D = S*T

Therefore we can say:

12/7(60) = distance train A is from Boston = 720/7 miles

12/7(80) = distance train B is from New York = 960/7 miles

The distance from New York would = 960/7 miles