A thief is noticed by a policeman from a distance of 300 meters. The thief runs at 12 km/h and the policeman chases him at 15 km/h. What is the distance run by the thief before he is caught?
Explanation:
Relative speed = 15 - 12 = 3 km/h. Time taken to catch = Initial distance / Relative speed = 0.3 km / 3 km/h = 0.1 hours. Distance covered by thief = Speed of thief * Time = 12 km/h * 0.1 hours = 1.2 km = 1200 meters.
A man rides a bicycle at 12 km/h from his house to his school and reaches 5 minutes late. Next day he increases his speed to 15 km/h and reaches 5 minutes early. Find the distance between his house and school.
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