Question

Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train

Answer 1

Distance = (Rate)(Time)

Let x = speed of slower train

x + 17 = speed of faster train

The trains meet when the sum of the distances = 1285

5x + 5(x+17) = 1285

(5 came from 5 hours)

10x + 85 = 1285

10x = 1200

x = 120 mph

The speeds are 120 mph and 137 mph

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