A thief is spotted by a policeman from a distance of 150 meters. The thief runs at 11 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught. MCQ with Answer and Explanation

A thief is spotted by a policeman from a distance of 150 meters. The thief runs at 11 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.
A. 1650 meters
B. 1500 meters
C. 1800 meters
D. 1950 meters
Answer: Option A
Solution (By JKExamLibrary)
Relative speed = 12 - 11 = 1 km/h. Time to catch the thief = 0.15 km / 1 km/h = 0.15 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.15 hours = 1.65 km = 1650 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
A car travels a distance of 300 km at a certain speed. If the speed is increased by 10 km/h, it takes 5 hours for the journey. Find the original speed.
A. 50 km/h
B. 45 km/h
C. 55 km/h
D. 60 km/h

Correct Answer: Option A


Explanation:
New speed = 300 / 5 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A person covers a distance of 100 km at 25 km/h and another 150 km at 50 km/h. Find his average speed for the whole journey.
A. 35.5 km/h
B. 37.50 km/h
C. 35.71 km/h
D. 38.25 km/h

Correct Answer: Option C


Explanation:
Total distance = 100 + 150 = 250 km. Total time taken = 100/25 + 150/50 = 4 + 3 = 7 hours. Average speed = 250 / 7 = 35.71 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A person walks from home to school at 4 km/h and arrives 5 minutes late. If he runs at 5 km/h, he arrives 4 minutes early. Find the distance.
A. 3.5 km
B. 3.0 km
C. 4.0 km
D. 2.5 km

Correct Answer: Option B


Explanation:
Time difference = 5 - (-4) = 9 minutes = 9/60 = 0.15 hours. Let distance be d. d / 4 - d / 5 = 0.15 => d / 20 = 0.15 => d = 3 km.

This question belongs to: Maths Time Speed and Distance