A schoolboy covers his walk to school at 4 km/h and arrives 9 minutes late. The next day, he steps up his pace to 6 km/h and arrives 1 minute early. Find the distance. MCQ with Answer and Explanation

A schoolboy covers his walk to school at 4 km/h and arrives 9 minutes late. The next day, he steps up his pace to 6 km/h and arrives 1 minute early. Find the distance.
A. 2.2 km
B. 2.0 km
C. 2.5 km
D. 1.8 km
Answer: Option B
Solution (By JKSSB Mock Tests)
Time difference = 9 - (-1) = 10 minutes = 10/60 = 1/6 hours. Let distance be d. d/4 - d/6 = 1/6 => d/12 = 1/6 => d = 2 km.

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Practice More Time Speed and Distance Questions

Question #1
A person walking at 4 km/h covers a certain distance. If he runs at 8 km/h, he takes 30 minutes less to cover the same distance. Find the distance.
A. 3.5 km
B. 5.0 km
C. 4.0 km
D. 4.5 km

Correct Answer: Option C


Explanation:
Time difference = 30 minutes = 0.5 hours. Let distance be d. d / 4 - d / 8 = 0.5 => d / 8 = 0.5 => d = 4 km.

This question belongs to: Maths Time Speed and Distance
Question #2
A worker reaches his factory 15 minutes late if he walks at 4 km/h, and 10 minutes early if he walks at 6 km/h. Find the distance to his factory.
A. 6 km
B. 4 km
C. 5 km
D. 8 km

Correct Answer: Option C


Explanation:
Time difference = 15 - (-10) = 25 minutes = 25/60 = 5/12 hour. Let distance be d. d/4 - d/6 = 5/12 => d/12 = 5/12 => d = 5 km.

This question belongs to: Maths Time Speed and Distance
Question #3
A motorboat maps 32 km downstream in 2 hours and tracks the same upriver stretch upstream in 4 hours. Find the baseline speed of the boat hull in still water.
A. 12 km/h
B. 10 km/h
C. 14 km/h
D. 15 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 32 / 2 = 16 km/h. Upstream speed = 32 / 4 = 8 km/h. Speed in still water = (16 + 8) / 2 = 12 km/h.

This question belongs to: Maths Time Speed and Distance