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
A train travelling at a speed of 72 km/hr crosses a post in 20 seconds. If it crosses another train travelling at a speed of 54 km/hr in the same direction in 1 minute 45 seconds, then the difference in length between the two trains is
Rajiv's boat can travel along the current at the 8 km/hour and against the current at the rate 6 km/hour. Find the time taken by the boat to sail 28 km in still water.
Rohit and Dinesh are 64 km apart. Rohit can walk at a speed of 15 km/hr and Dinesh at the speed of 17 km/hr. In how many hours will they meet if they are travelling towards each other?
Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:
A worker covers a distance of 81 km in 11 hours. He travels partly on foot at 4.5 km/h and partly on bicycle at 15 km/h. What is the distance covered on the cycle?
