A policeman saw a thief from a distance of 400m and started running towards him. If the speed of the policeman and the thief are 30 km/hr and 22 km/hr respectively. Find the distance covered by the thief before caught.
-
1.1 km
-
1.5 km
-
500 metres
-
780 metres
A
Correct answer
Explanation
Relative speed = 30 - 22 = 8 km/hr. Time to catch the thief = 0.4 km ÷ 8 km/hr = 0.05 hr = 3 minutes. In this time, thief travels: 22 × 0.05 = 1.1 km. Option B (1.5 km) ignores the relative speed concept. Option C (500m) uses incorrect time calculation. Option D (780m) is an arithmetic error.