A thief noticing a policeman from a distance of 500 metres starts running at a speed of 8 km/h. The policeman chased him with a speed of 11 km/h. What is the distance run by the thief before he was caught? (Rounded off to two decimal places, if required)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1,333.33 metres
Given:
Speed of thief = 8 km/h
Speed of policeman = 11 km/h
Distance = 500m
Concept used:
Distance = Speed × Time
Explanation:
Let the time be t hours
Relative speed of thief and policeman = 11 - 8 = 3 km/hr = 3 × 5/18 = 5/6 m/sec
Time taken to cover the 500m gap = 500/(5/6) = 600 sec
Distance covered by thief in 600 sec = 600 × 8 × 5/18 = 1333.33 m
Hence the required answer is 1,333.33 m.