# math

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How long will it take a car 3m long moving at 100km/h to overtake a truck 10m long moving at 50km/h if the car is 10m behind the truck?

• math -

If by "overtake" you mean pass until the rear of the car has passed the front of the truck, then:

50km/hr = 50000/3600 = 13.888m/s

The car is traveling 13.8888m/s faster than the truck, so it takes (10+10+3)/13.8888 = 1.656 sec for the rear bumper of the car to pass the front of the truck.

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