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Answer :
78 miles per hour- here's how
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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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