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.

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Step 1: Convert speeds from km/h to m/min.
- Speed of thief = 12 km/h = (12 * 1000) / 60 = 200 m/min
- Speed of policeman = 15 km/h = (15 * 1000) / 60 = 250 m/min

Step 2: Calculate relative speed of policeman with respect to thief.
- Relative speed = 250 - 200 = 50 m/min

Step 3: Calculate time taken to cover the initial distance of 600 m at relative speed.
- Time = Distance / Relative speed = 600 / 50 = 12 minutes

Therefore, the policeman will catch the thief in 12 minutes.

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