A policeman noticed a thief at some distance. The policeman started running to catch the thief and the thief also started
running at the same time. The speed of both policeman and the thief was 12 km per hour and 10 km per hour, respectively. It
took 30 minutes for the policeman to catch the thief. Find the initial distance (in metres) between them.

Question

Accepted Answer

Step 1: Convert speeds from km/h to m/min.  
- Policeman speed = 12 km/h = (12 * 1000) / 60 = 200 m/min
- Thief speed = 10 km/h = (10 * 1000) / 60 = 166.67 m/min

Step 2: Calculate relative speed (difference in speeds) because both are running in the same direction.  
Relative speed = 200 - 166.67 = 33.33 m/min

Step 3: Time taken to catch the thief = 30 minutes

Step 4: Initial distance = relative speed * time = 33.33 * 30 = 1000 meters

Therefore, the initial distance between the policeman and the thief is 1000 meters.

Answer

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