Question

a thief runs with a uniform speed of 100m/min . After on eminute a policeman runsa after the thief to catch him .He goes with a speed of 100m/min in the first minute and increases his speed by 10 m/min every succeding minute .After how many minutes the policeman will catch the thief

Answer 1

In 1 min distance covered by thief = 100 x 1 = 100 m

Therefore gap between thief and police = 100 m

When police starts chasing, his speed in 1st min is same as that of thief.

Therefore ther is no change in the gap.

 

In the 2nd min of chase, speed difference is 10.

Therefore the gap also reduces by 10 m.

Similarly the gap reduces by 20 m in 3rd min.

Now 0 + 10 + 20 + 30 + 40 = 100

Therefore it takes 5 mins for police after he starts to catch the thief.

Therefore policeman takes total of 6 min after the thief starts running.

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