Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour faster than the westbound train. If the two trains are 540 miles apart after 3 hours, what is the rate of the eastbound train? Do not do any rounding.

Question

Mathematics

Monty

15 March, 10:46

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour faster than the westbound train. If the two trains are 540 miles apart after 3 hours, what is the rate of the eastbound train? Do not do any rounding.

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Answers (1)

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Tyke · Answer 1

99miles / hour

take x as the speed of the westbound train.

so the distance between the train in an hour would be 2x+18. in 3 hours it would be 6x+54.

so 6x+54=540 hence 6x=540-54 and x=81. speed of eastbound train is x+18 hence it is 99.

I hv another alternative solution tell me if u want to know.