High School

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 14 miles per hour slower than the westbound train. If the two trains are 850 miles apart after 5 hours, what is the rate of the eastbound train?

Do not round your answer.

Answer :

Final answer:

The eastbound train is travelling at a speed of 78 miles per hour.

Explanation:

Let's denote the speed of the westbound train as 'W' and the eastbound train as 'E'. Since we know that the eastbound train travels 14 miles per hour slower than the westbound train, we can express 'E' as 'W - 14'. Also, we know that the combined distance travelled by the two trains is 850 miles over 5 hours, so we can write, '5(W + E) = 850'.

Substitute E = W - 14 into the equation, we get '5(W + W - 14) = 850', simplifies to '2W - 14 = 170'. Solving for 'W', gives W = 92. So, the speed of the eastbound train is 'W - 14' which equals '92 - 14' = 78 miles per hour.

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78 miles per hour- here's how

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