Two trains leave stations 168 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 65 miles per hour. How long will it take for the two trains to meet?

Question

Mathematics

Cornelius Wilkinson

14 December, 08:38

Two trains leave stations 168 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 65 miles per hour. How long will it take for the two trains to meet?

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Answers (1)

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Aubree Poole · Answer 1

Answer: they would meet after 1.2 hours

Step-by-step explanation:

Let t represent how long will it take for the two trains to meet.

If the two trains leave stations 168 miles apart at the same time and travel toward each other, it means that after t hours, they would have covered 168 miles.

Distance = speed * time

One train travels at 75 miles per hour. It means that the distance travelled by this train in t hours is 75t miles.

The other train travels at 65 miles per hour. It means that the distance travelled by this train in t hours is 65t miles.

Since the total distance covered is 168 miles, it means that

75t + 65t = 168

140t = 168

t = 168/140

t = 1.2