A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 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 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught.
A. 1375 meters
B. 1500 meters
C. 1625 meters
D. 1250 meters
Answer: Option A
Solution (By JKExamLibrary)
Relative speed = 13 - 11 = 2 km/h. Time to catch the thief = 0.25 km / 2 km/h = 0.125 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.125 hours = 1.375 km = 1375 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
Walking at 4/5 of his normal pace, an official is 12 minutes late to his assignment station. Find his usual baseline time.
A. 48 minutes
B. 52 minutes
C. 44 minutes
D. 56 minutes

Correct Answer: Option A


Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 12 minutes. Usual time = 12 * 4 = 48 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A car covers a certain distance at 50 km/h. If the speed is increased to 75 km/h, it arrives 20 minutes earlier. Find the distance.
A. 60 km
B. 45 km
C. 55 km
D. 50 km

Correct Answer: Option D


Explanation:
Time difference = 20 minutes = 20/60 = 1/3 hour. Let distance be d. d / 50 - d / 75 = 1/3 => (3d - 2d) / 150 = 1/3 => d / 150 = 1/3 => d = 50 km.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A boat can row 12 km/h in still water. If the river current flows at 4 km/h, find the time taken by the boat to row 48 km upstream.
A. 4 hours
B. 6 hours
C. 10 hours
D. 8 hours

Correct Answer: Option B


Explanation:
Upstream speed = 12 - 4 = 8 km/h. Time taken = Distance / Upstream Speed = 48 / 8 = 6 hours.

This question belongs to: Maths Time Speed and Distance