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 journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
