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A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. At what distance will the policeman catches the thief?

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and policeman run at the rate of 10 kmph and 11 kmph respectively. At what distance will the policeman catches the thief? Correct Answer 2.2 km

Given

Distance between thief and police is 200m

Speed of thief is 10kmph

Speed of police is 11kmph

Formula used

Time taken to meet = Initial Distance / Relative Speed

Distance = speed × time

Calculation

Initial distance = 200m = 0.2km

Relative Speed = 11 - 10 = 1 kmph

Time taken to catch the thief = 0.2/1 = 0.2 hr

Distance travelled by Police = 11 × 0.2 = 2.2 km

∴ The policeman catches the thief at 2.2 km

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