SOLUTION: A car and a bus set out at 5 P.M. from the same point headed in the same direction. The average speed of the car is twice the average speed of the bus. In 2 h, the car is 72 mi ahe
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Question 1151924: A car and a bus set out at 5 P.M. from the same point headed in the same direction. The average speed of the car is twice the average speed of the bus. In 2 h, the car is 72 mi ahead of the bus. Find the rate of the car. Answer by ikleyn(52890) (Show Source):
Let x be the rate of the car, in miles per hour.
Then the rate of the bus is 0.5x.
In 2 hours
2x - 2*(0.5x) = 72
It is your basic equation, which is the literal translation from English to Math.
Simplify and solve for x.
2x - x = 72
x = 72.
ANSWER. The rate of the car is 72 miles per hour.