Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 306 miles apart?

Question

Mathematics

Zain Cannon

24 May, 02:21

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 306 miles apart?

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Answers (1)

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Judith Hebert · Answer 1

Answer: after 1.8 hours, they would be 306 miles apart.

Step-by-step explanation:

Let t represent the time it will take for the two trains to be 306 miles apart. It means that after t hour, both trains would have covered a total of 306 miles.

Distance = speed * time

The eastbound train travels at 75 miles per hour. It means that the distance travelled by the eastbound train after t hours is 75t miles.

The westbound train travels at 95 miles per hour. It means that the distance travelled by the westbound train after t hours is 95t miles.

Since the total distance covered after t hours is 306 miles, it means that

75t + 95t = 306

170t = 306

t = 306/170

t = 1.8