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. 2.0 km
B. 1.8 km
C. 2.2 km
D. 2.5 km
Answer: Option A
Solution (By JKExamLibrary)
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.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Excluding stoppages, a bus travels at 54 km/h and including stoppages it travels at 45 km/h. How many minutes does the bus stop per hour?
A. 15 minutes
B. 12 minutes
C. 8 minutes
D. 10 minutes

Correct Answer: Option D


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 #2 Report Error
A train passes a pedestrian standing on a platform in 8 seconds and passes the platform itself, which is 200 meters long, in 18 seconds. Find the speed of the train in km/h.
A. 72 km/h
B. 80 km/h
C. 64 km/h
D. 84 km/h

Correct Answer: Option A


Explanation:
Time taken to cross the platform alone = 18 - 8 = 10 seconds. Speed of train = 200 / 10 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train 120 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross.
A. 7 seconds
B. 10 seconds
C. 9 seconds
D. 8 seconds

Correct Answer: Option D


Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 120 / 15 = 8 seconds.

This question belongs to: Maths Time Speed and Distance