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A traffic police officer observes a fast...

A traffic police officer observes a fast moving car. Due to over speed officer starts his bike, accelerates uniformly to 90 kph in 8 s, and maintaining a constant velocity of 90 kph, overtakes the car 42 s after the car passed him. If he overtakes the carafter 18 s from the instant he starts, find the distance the officer travelled before overtaking and the speed of car.

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