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. MCQ with Answer and Explanation

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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. 5.0 km

B. 3.5 km

C. 4.5 km

D. 4.0 km

Answer: Option D

Solution (By JKExamLibrary)

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

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Practice More Time Speed and Distance Questions

Question #1 Report Error

A man covers 40% of his journey at 40 km/h, 50% of the remaining at 30 km/h and the rest at 15 km/h. What is his average speed for the whole journey?

A. 30 km/h

B. 25 km/h

C. 24 km/h

D. 28 km/h

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
Let total distance be 100 km. First part: 40 km at 40 km/h => time = 1 hour. Remaining distance = 60 km. Second part: 50% of 60 = 30 km at 30 km/h => time = 1 hour. Remaining distance = 30 km. Third part: 30 km at 15 km/h => time = 2 hours. Total time = 1 + 1 + 2 = 4 hours. Average speed = 100 / 4 = 25 km/h.

This question belongs to: Maths Time Speed and Distance

Question #2 Report Error

A boy goes to school at a speed of 3 km/h and returns to his village at a speed of 2 km/h. If he takes 5 hours in all, what is the distance between the school and the village?

A. 8 km

B. 6 km

C. 7 km

D. 5 km

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
Let distance be d. d/3 + d/2 = 5 => 5d/6 = 5 => d = 6 km.

This question belongs to: Maths Time Speed and Distance