A person walks from his home to his office at 3 km/h and reaches 15 minutes late. If he walks at 4 km/h, he reaches 5 minutes late. Find the distance. MCQ with Answer and Explanation

A person walks from his home to his office at 3 km/h and reaches 15 minutes late. If he walks at 4 km/h, he reaches 5 minutes late. Find the distance.
A. 2.2 km
B. 2.0 km
C. 1.8 km
D. 2.5 km
Answer: Option B
Solution (By JKSSB Mock Tests)
Time difference = 15 - 5 = 10 minutes = 10/60 = 1/6 hour. Let distance be d. d / 3 - d / 4 = 1/6 => d / 12 = 1/6 => d = 2 km.

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Practice More Time Speed and Distance Questions

Question #1
A boat crew row a boat 36 km downstream in 4 hours and tracks the identical loop back upstream in 6 hours. Find the baseline speed of the boat in still water.
A. 7.5 km/h
B. 8.0 km/h
C. 7.0 km/h
D. 8.5 km/h

Correct Answer: Option A


Explanation:
Downstream tracking speed = 36 / 4 = 9 km/h. Upstream tracking speed = 36 / 6 = 6 km/h. Speed in still water = (9 + 6) / 2 = 15 / 2 = 7.5 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
Excluding stoppages, the speed of an intercity bus is 54 km/h and including stoppages it is 45 km/h. How many minutes does the bus stop per hour?
A. 10 minutes
B. 12 minutes
C. 15 minutes
D. 8 minutes

Correct Answer: Option A


Explanation:
Stoppage time per hour = (54 - 45) / 54 = 9 / 54 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3
A commercial van covers 1/3 of a route sector distance at 20 km/h, 1/3 at 40 km/h and the final 1/3 segment at 40 km/h. Find the mean average speed.
A. 34 km/h
B. 28 km/h
C. 30 km/h
D. 32 km/h

Correct Answer: Option C


Explanation:
Let each third segment distance be 40 km. Total sector distance = 120 km. Total time = 40/20 + 40/40 + 40/40 = 2 + 1 + 1 = 4 hours. Average speed across route = 120 / 4 = 30 km/h.

This question belongs to: Maths Time Speed and Distance