A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many meters will the policeman have to run before he catches up with the thief?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2760.
Relative speed of two objects when running in the same direction = S1 - S2
Where S1 and S2 are the speed of the two objects
According to the question;
⇒ relative speed = 9.2 - 8 = 1.2 km/h
Time taken to catch the thief = 360/(1.2 × 5/18) = 1080 s
Hence, distance travelled by the policeman = 9.2 × (5/18) × 1080 = 2760 m