A thief is spotted by a policeman from a distance of 250 meters. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief to be 10 km/h and that of the policeman to be 12 km/h, how far will the thief have run before he is overtaken? MCQ with Answer and Explanation

A thief is spotted by a policeman from a distance of 250 meters. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief to be 10 km/h and that of the policeman to be 12 km/h, how far will the thief have run before he is overtaken?
A. 1250 meters
B. 1000 meters
C. 1750 meters
D. 1500 meters
Answer: Option A
Solution (By JKExamLibrary)
Relative speed = 12 - 10 = 2 km/h. Time taken to catch the thief = 0.25 km / 2 km/h = 1/8 hour. Distance run by the thief = Speed * Time = 10 km/h * (1/8) hour = 1.25 km = 1250 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
Excluding institutional stops, the speed of an intercity coach is 72 km/h and including stops it is 60 km/h. For how many minutes does the coach stop per hour?
A. 15 minutes
B. 12 minutes
C. 10 minutes
D. 8 minutes

Correct Answer: Option C


Explanation:
Stoppage time per hour = (72 - 60) / 72 = 12 / 72 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
In a 400-meter race, A finishes in 44 seconds and B finishes in 50 seconds. By what distance does A beat B?
A. 45 meters
B. 48 meters
C. 50 meters
D. 52 meters

Correct Answer: Option B


Explanation:
Speed of B = 400 / 50 = 8 m/s. Distance covered by B when A crosses the finish line at 44 seconds = 8 * 44 = 352 meters. Winning margin = 400 - 352 = 48 meters.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
Walking at 6/7 of his usual speed, a man is 15 minutes late to his destination. What is his usual time to reach the destination?
A. 100 minutes
B. 120 minutes
C. 90 minutes
D. 75 minutes

Correct Answer: Option C


Explanation:
New speed = 6/7 of usual speed => New time = 7/6 of usual time. Difference = 1/6 of usual time = 15 minutes. Usual time = 15 * 6 = 90 minutes.

This question belongs to: Maths Time Speed and Distance