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. 1400 meters
B. 1200 meters
C. 1500 meters
D. 1000 meters
Answer: Option B
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
A. 11 seconds
B. 10 seconds
C. 12 seconds
D. 9 seconds

Correct Answer: Option B


Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed in opposite directions = 50 + 58 = 108 km/h = 30 m/s. Time taken = 300 / 30 = 10 seconds.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A train 150 meters long is traveling at a speed of 45 km/h. How much time will it take to clear a platform 300 meters long?
A. 36 seconds
B. 45 seconds
C. 32 seconds
D. 40 seconds

Correct Answer: Option A


Explanation:
Total distance = 150 + 300 = 450 meters. Speed = 45 * (5/18) = 12.5 m/s. Time taken = 450 / 12.5 = 36 seconds.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Excluding minor platform corridor stops, the speed of an express route train is 84 km/h, and including stops it tracks at 70 km/h. How many minutes does it spend resting at stops per hour?
A. 15 minutes
B. 12 minutes
C. 8 minutes
D. 10 minutes

Correct Answer: Option D


Explanation:
Stoppage time per hour = (84 - 70) / 84 = 14 / 84 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance