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? MCQ with Answer and Explanation
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?
A. 1000 meters
B. 1500 meters
C. 1200 meters
D. 1400 meters
Answer: Option C
Solution (By JKSSB Mock Tests)
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.
Explanation:
Time taken to cross the bridge alone = 15 - 9 = 6 seconds. Speed of train = 150 / 6 = 25 m/s. Length of train = Speed * Time to cross sign post = 25 * 9 = 225 meters.
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