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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour faster than the westbound train. If the two trains are 750 miles apart after 5 hours, what is the rate of the eastbound train?

Answer :

musiclover10045

east bound train = x

westbound train = x-20 ( 20 miles slower than east bound)

5x + 5(x-20) = 750

5x +5x -100=750

10x -100 = 750

10x =850

x = 850/10 = 85

east bound train is 85 mph

west bound train is 85-20 = 65 mph


check: 85*5 = 425

65*5 = 325

325+425 = 750

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