A policeman follows a thief, who is 150 metres ahead of him, and they run at the speed of 6 km/h and 5 km/h, respectively. What distance does the policeman cover to catch up with the thief?
900 metres
Relative speed of the policeman = (6 - 5) km/h = 1 km/h
Convert to m/s: (1 × 1000) ÷ 3600 = 5/18 m/s
Time taken to catch the thief = 150 ÷ (5/18) = (150 × 18) ÷ 5 = 540 seconds
Distance covered = Speed × Time = 6 km/h × (540/3600) h
Distance = 6 × (540/3600) × 1000 = 900 metres
Thus, the correct answer is 900 metres.
Important Questions from Speed Time and Distance
The average speed of a train is 180% of the average speed of a car. The car covers a distance of 990 km in 15 hours. The time taken (in hours) by the train to cover the distance of 891 km is:
If Rohit can cover a distance of 1188 km in 22 hours, then what is the speed of Rohit?
A train is moving at 72 km/hrs. The distance covers in 15 minutes by the train is:
If Sonu is driving a car at a speed of 20 m/s, then in how much time Sonu will cover a distance of 936 km?
A person crosses a 1600 m long street in 4 min. What is his speed (in km/h)?
