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A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.

SSC · 2024 · Quantitative Aptitude
Question:
A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.

Options

(1) 8
(2) 10
(3) 12
(4) 15
Answer: (3) 12

Explanation:
Relative speed = 15-12 = 3 km/h = 3000/60 = 50 m/min. Time = 600/50 = 12 minutes.

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