Multiple choice

A thief stole the purse of a lady and started running at a speed of 18 kmph. A man standing at a distance of 10 m from the lady started chasing thief on cycle, who was running in the opposite direction. Man was cycling at a speed of 27 kmph and he started 10 sec after the thief started running. How much distance did the man cover to catch the thief?

  1. 150 m

  2. 180 m

  3. 195 m

  4. 210 m

  5. 240 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Thief speed = 5 m/s. Man speed = 7.5 m/s. Thief starts 10s early, distance = 50m. Man starts 10m from lady, so distance to cover is 50+10 = 60m. Relative speed = 7.5 - 5 = 2.5 m/s. Time to catch = 60 / 2.5 = 24s. Distance covered by man = 24 * 7.5 = 180m.

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