A thief is spotted by a policeman from a distance of 200 meters. The thief runs at 10 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 200 meters. The thief runs at 10 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.
A. 900 meters
B. 1100 meters
C. 1200 meters
D. 1000 meters
Answer: Option D
Solution (By JKExamLibrary)
Relative speed = 12 - 10 = 2 km/h. Time to catch the thief = 0.2 km / 2 km/h = 0.1 hours. Distance covered by thief = Speed * Time = 10 km/h * 0.1 hours = 1 km = 1000 meters.

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Practice More Time Speed and Distance Questions

Question #1
A acoustic sensor records a sound wave. If the echo of the pulse reflects from an obstacle after 3 seconds, find the distance of the obstacle from the origin given the speed of sound is 340 m/s.
A. 510 meters
B. 960 meters
C. 480 meters
D. 1020 meters

Correct Answer: Option A


Explanation:
Total path distance covered by the wave = 340 * 3 = 1020 meters. Distance to the obstacle = 1020 / 2 = 510 meters.

This question belongs to: Maths Time Speed and Distance
Question #2
A train 100 meters long completely passes a static pole in 5 seconds. Find its speed in km/h.
A. 84 km/h
B. 72 km/h
C. 64 km/h
D. 80 km/h

Correct Answer: Option B


Explanation:
Speed = 100 / 5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A student walks from his quarter block to the academy center at 4 km/h and arrives 8 minutes late. If he manages a pace of 5 km/h, he arrives 4 minutes early. Find the track distance.
A. 3.5 km
B. 5.0 km
C. 4.5 km
D. 4.0 km

Correct Answer: Option D


Explanation:
Time difference = 8 - (-4) = 12 minutes = 10/60 = 1/5 hours. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.

This question belongs to: Maths Time Speed and Distance