A constable is 114 metre behind a thief. The constable runs 21 metres per minute and the thief runs 15 metres in a minute. In what time will the constable catch the thief ?

A. 19 min

B. 18 min

C. 17 min

D. 16 min

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {{\text{V}}_{{\text{rel}}{\text{.}}}} = \left( {21 - 15} \right){\text{ m/min}} \cr & \,\,\,\,\,\,\,\,\,\,\, = {\text{ 6 m/min}} \cr} $$
Time taken to catch the thief :
= $$\frac{114}{6}$$ min
= 19 min