Question

Two trains are approaching one another from opposite directions on parallel tracks. Each train is 150 ft long, but one of the trains is moving at 50 ft/sec, while the other is traveling at only 30 ft/sec. How many seconds elapse from the time the trains first begin to overlap to the time they have completely passed one another?

Answer 1

3.75 sec

Step-by-step explanation:

By the first time the trains begin to overlap, the distance they have to cover to be completely past each other is the sum of the two (trains);

150 ft + 150 ft = 300 ft

Because the trains are moving in opposite directions, their combined relative speed over the distance is;

50 + 30 = 80 ft/sec

The time taken for the trains to be completely past each other is therefore;

Distance / speed = time

300 / 80 = 3.75

= 3.75 sec

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