Multiple choice

A policeman and thief noticed each other at a distance of 150 m between them. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 kmph and 11 kmph, respectively. What is the distance between them after 2 minutes?

  1. 50 m

  2. 60 m

  3. 75 m

  4. 90 m

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The relative speed of the policeman with respect to the thief is 11 - 8 = 3 km/h. In 2 minutes (1/30 hours), the policeman gains 3 * (1/30) = 0.1 km = 100 m on the thief. The initial distance was 150 m, so the remaining distance is 150 - 100 = 50 m.

AI explanation

Using the concept of relative speed, the policeman gains distance on the thief at a rate of 11 kmph minus 8 kmph, equaling 3 kmph. Converting this to meters per minute gives 50 meters per minute. In 2 minutes, the policeman gains 100 meters, reducing the initial 150 meter gap to 50 meters.

Keep practicing — related questions