A thief is spotted by a constable from 200 m. When the constable starts the chase, the thief also starts running. If the speed of the constable is 8 km/h and the thief runs at a speed of 6 km/h, then how far (in m) will the thief be able to run before he is overtaken?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 600
Given that
A thief is spotted by a constable from 200 m
⇒ The speed of the constable = 8 km/h = 8 × 5/18 = 40/18 m/s
⇒ The thief runs at a speed = 6 km/h = 6 × 5/18 = 30/18 m/s
According to the question
⇒ The relative speed of the constable and the thief = (40/18) - (30/18) = 10/18 m/s
⇒ The time taken to overtake the thief = 200/(10/18) = 360 sec
Hence, the thief covers the distance before being overtaken = (30/18) × 360 = 600 m.