Two cars, 330 kilometers apart begin driving toward each other on a long, straight highway. One car drives 80 kilometers per hour and the other 85 miles per hour. At the same time, a canary, starting on one car, flies back and forth between the cars as they approach each other. If the canary flies 90 kilometers per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

Question

Mathematics

Bryanna Villa

12 May, 14:54

Two cars, 330 kilometers apart begin driving toward each other on a long, straight highway. One car drives 80 kilometers per hour and the other 85 miles per hour. At the same time, a canary, starting on one car, flies back and forth between the cars as they approach each other. If the canary flies 90 kilometers per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

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Answers (1)

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Darryl Beasley · Answer 1

The two cars will meet when the sum of the distances covered by the two cars is 330 kilometers.

distance = speed x time.

Let the time covered when they meet be x, then:

80x + 85x = 330

165x = 330

x = 330/165 = 2 hours.

In 2 hours, the canary will cover 90 x 2 = 180 kilometers.

Therefore, the has flown 180 kilometers when the cars collide ...