A thief escapes at 2:00 PM at a speed of 40 km/h. The owner follows him at 3:30 PM at a speed of 50 km/h. At what time will the owner catch the thief? MCQ with Answer and Explanation

A thief escapes at 2:00 PM at a speed of 40 km/h. The owner follows him at 3:30 PM at a speed of 50 km/h. At what time will the owner catch the thief?
A. 8:30 PM
B. 10:30 PM
C. 9:30 PM
D. 10:00 PM
Answer: Option C
Solution (By JKExamLibrary)
By 3:30 PM, the thief has run for 1.5 hours and covered 40 * 1.5 = 60 km. Relative speed = 50 - 40 = 10 km/h. Time taken to catch = 60 / 10 = 6 hours. Catching time = 3:30 PM + 6 hours = 9:30 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 boat covers 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.
A. 3.0 km/h
B. 2.5 km/h
C. 3.5 km/h
D. 4.0 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 20 / 5 = 4 km/h. Speed of stream = (10 - 4) / 2 = 6 / 2 = 3 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A boatman can row 12 km/h in still water. If the river velocity index tracks at 2 km/h, find the time parameter required by the boat hull to row 40 km upstream.
A. 4.0 hours
B. 3.5 hours
C. 4.5 hours
D. 5.0 hours

Correct Answer: Option A


Explanation:
Upstream speed = 12 - 2 = 10 km/h. Time required = Distance / Upstream Speed = 40 / 10 = 4 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A boat can row 10 km/h in still water and the speed of the current is 2 km/h. Find the time taken to row 24 km upstream.
A. 3.5 hours
B. 3.0 hours
C. 4.0 hours
D. 2.5 hours

Correct Answer: Option B


Explanation:
Upstream speed = 10 - 2 = 8 km/h. Time taken = 24 / 8 = 3 hours.

This question belongs to: Maths Time Speed and Distance