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. 2.2 km
C. 2.5 km
D. 1.8 km
Answer: Option A
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 person row a boat 30 km downstream in 3 hours and returns upstream in 5 hours. Find the speed of the current.
A. 2.5 km/h
B. 3.0 km/h
C. 2.0 km/h
D. 1.5 km/h

Correct Answer: Option C


Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 5 = 6 km/h. Speed of current = (10 - 6) / 2 = 2 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
Walking at 3/4 of his normal pace, a student is 12 minutes late. Find his usual time.
A. 40 minutes
B. 44 minutes
C. 36 minutes
D. 32 minutes

Correct Answer: Option C


Explanation:
New speed = 3/4 of usual speed => New time = 4/3 of usual time. Difference = 1/3 of usual time = 12 minutes. Usual time = 12 * 3 = 36 minutes.

This question belongs to: Maths Time Speed and Distance
Question #3
A person walking at 4/5 of his usual speed reaches his office 10 minutes late. What is his usual time?
A. 50 minutes
B. 40 minutes
C. 45 minutes
D. 35 minutes

Correct Answer: Option B


Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 10 minutes. Usual time = 10 * 4 = 40 minutes.

This question belongs to: Maths Time Speed and Distance