A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief? MCQ with Answer and Explanation

A thief escapes from police custody at 1:00 PM running at 45 km/h. The police discover the escape at 1:20 PM and start chasing him at 60 km/h. At what time will the police catch the thief?
A. 2:00 PM
B. 3:00 PM
C. 2:30 PM
D. 2:20 PM
Answer: Option D
Solution (By JKExamLibrary)
In 20 minutes (1/3 hour), the thief covers 45 * (1/3) = 15 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 15 / 15 = 1 hour. Catching time = 1:20 PM + 1 hour = 2:20 PM.

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 train passes a standing passenger in 8 seconds and crosses a 180-meter long platform in 17 seconds. Find the speed of the train.
A. 24 m/s
B. 22 m/s
C. 20 m/s
D. 18 m/s

Correct Answer: Option C


Explanation:
Time taken to pass the platform alone = 17 - 8 = 9 seconds. Speed of train = 180 / 9 = 20 m/s.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
Walking at 5/7 of his usual speed, a student reaches his exam center 12 minutes late. What is his exact usual time to reach the center?
A. 30 minutes
B. 35 minutes
C. 26 minutes
D. 32 minutes

Correct Answer: Option A


Explanation:
New speed = 5/7 of usual speed => New time = 7/5 of usual time. Difference = 2/5 of usual time = 12 minutes. 1/5 of usual time = 6 minutes => Usual time = 6 * 5 = 30 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A car covers a total distance of 240 km. It travels the first half of the distance at 40 km/h and the second half at 60 km/h. Find the average speed for the full journey.
A. 46 km/h
B. 52 km/h
C. 48 km/h
D. 50 km/h

Correct Answer: Option C


Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.

This question belongs to: Maths Time Speed and Distance