CBSE Class 10 Answered
a thief runs away from a police station with the uniform speed of 100 m/minute.after one minute the police man runs behind the thief to catch him he goes with speed of 100m/minute in the first minute and increases his speed by 10m/minute each succeeding minute.after how many minutes ,the police will catch the thief?
Asked by apurva151 | 07 Dec, 2015, 05:11: PM
Expert Answer
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.
Answered by Rashmi Khot | 08 Dec, 2015, 10:35: AM
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