Question

A thief seeing a policeman from a distance of $200$ metres starts running at a speed of $8$ km/hr. The policeman gives chase immediately with a speed of $9$ km/hr and the thief is caught. What is the distance run by the thief?

• A. $1000$ metres
• B. $1200$ metres
• C. $1600$ metres
• D. $2000$ metres

Answer 1

Answer: (C)

$1600$ metres

Relative speed of the policeman with respect to that of thief $=(9-8)$ km/hr $=1\times \frac{5}{18}$ m/sec
Time taken by the policeman to catch the thief $=\frac{200}{5/18}$ sec $=720$ seconds
The distance run by the thief $=(8\times \frac{5}{18}\times 720)$ metres $=1600$ metres