A dispatch rider travels between two depots at a speed of 50 km/h and arrives on schedule. If he travels at 40 km/h, he is late by 45 minutes. Find the distance between the two depots. MCQ with Answer and Explanation

A dispatch rider travels between two depots at a speed of 50 km/h and arrives on schedule. If he travels at 40 km/h, he is late by 45 minutes. Find the distance between the two depots.
A. 160 km
B. 120 km
C. 150 km
D. 180 km
Answer: Option C
Solution (By JKExamLibrary)
Time difference = 45 minutes = 45/60 = 3/4 hours. Let distance be d. d/40 - d/50 = 3/4 => (5d - 4d) / 200 = 3/4 => d / 200 = 3/4 => d = 150 km.

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 boatman rows 16 km downstream in 2 hours and covers the same distance upstream in 4 hours. Find the speed of the boat in still water.
A. 8 km/h
B. 6 km/h
C. 5 km/h
D. 7 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 16 / 2 = 8 km/h. Upstream speed = 16 / 4 = 4 km/h. Speed in still water = (8 + 4) / 2 = 6 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A person travels a distance of 200 km at an average speed of 50 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.
A. 44.44 km/h
B. 45.00 km/h
C. 42.5 km/h
D. 46.25 km/h

Correct Answer: Option A


Explanation:
Average Speed = 2xy / (x + y) = (2 * 50 * 40) / (50 + 40) = 4000 / 90 = 44.44 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
If a man walks at 14 km/h instead of 10 km/h, he would have walked 20 km more. What is the actual distance traveled by him?
A. 50 km
B. 70 km
C. 60 km
D. 40 km

Correct Answer: Option A


Explanation:
Let the time taken be t hours. Distance difference = 14t - 10t = 4t = 20 km => t = 5 hours. Actual distance = 10 * 5 = 50 km.

This question belongs to: Maths Time Speed and Distance