Question
Download Solution PDFA 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 metres will the policeman have to run before he catches up with the thief?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Concept used:
Distance = speed × time
Calculation:
Relative speed is (9.2 -8) × 5/18 = 1/3 m/s
Time taken to catch the thief 360 / (1/3) = 1080 sec
Distance covered in that time by the police is,
9.2 × (5/18)× 1080 = 2760 m
∴ The correct option is 4
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