Multiple choice

A policeman saw a thief at a distance of 400 metres away. The thief started running at a speed of 10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?

  1. 2.4 km

  2. 3 km

  3. 2 km

  4. 2.8 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 12 - 10 = 2 km/h. Time to catch = Distance / Relative speed = 0.4 km / 2 km/h = 0.2 hours. Distance covered by policeman = 12 km/h * 0.2 h = 2.4 km.

AI explanation

The relative speed of the policeman and the thief is 12 km/h - 10 km/h = 2 km/h. The time required to close the initial gap of 400 metres (0.4 km) is found by the formula time = distance / speed, giving 0.4 / 2 = 0.2 hours. The distance from the starting point is the policeman's speed multiplied by the time, which is 12 * 0.2 = 2.4 km.

Keep practicing — related questions