SOLUTION: A car and a train leave station A at the same time for station​ B, 150 miles away. If the speed of the car averages twice the speed of the train and the car arrives 2.5 hours bef

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car and a train leave station A at the same time for station​ B, 150 miles away. If the speed of the car averages twice the speed of the train and the car arrives 2.5 hours bef      Log On

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Question 1161917: A car and a train leave station A at the same time for station​ B, 150 miles away. If the speed of the car averages twice the speed of the train and the car arrives 2.5 hours before the​ train, find the speed of the car and the speed of the train.
Answer by greenestamps(13367) About Me  (Show Source):
You can put this solution on YOUR website!


car speed = twice train speed --> car takes half as long

car takes half as long and arrives 2.5 hours before the train --> car takes 2.5 hours and train takes 5 hours

cars travels 150 miles in 2.5 hours --> average speed 150/2.5 = 60mph

train travels 150 mile in 5 hours --> average speed 150/5 = 30mph