A police officer is 110 meter behind a thief The officer runs 21 meters and thief runs 14 meters in ...........

Quantitative Aptitude ( CCS) Time & distance

A police officer is 110 meter behind a thief. The officer runs 21 meters and thief runs 14 meters in a minute. In what time the officer will catch the thief ?

15.3/7 minutes

15.5/7 minutes

15.1/7 minutes

16.3/7 minutes

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Explanation:

let the thief covers x more distance before get caught, so officer have to cover 110+x in the same time in which thief covers x distance ,
x/14 = (110 +x)/21, x = 220 so time = 330/21 = 110/7 = 15.5/7 minutes