If a man increases his speed by 25%, he takes 1 hour less to cover a certain distance. What was the original time?

Question

If a man increases his speed by 25%, he takes 1 hour less to cover a certain distance. What was the original time?

1. A. 3 hours
2. B. 4 hours
3. C. 5 hours (Correct answer)
4. D. 6 hours

Correct Answer

Option C — 5 hours

Detailed Solution & Explanation

The correct answer is 5 hours.

Key Points

• New speed = 1.25v, new time = t-1. Distance d = vt = 1.25v(t-1) => t = 1.25t-1.25 => 0.25t = 1.25 => t = 5 hours.