Question

A train travels 240 km in 4 hours. If the speed is increased by 20\%, how much time will it take to cover the same distance?

• A. 3 hours
• B. 3.2 hours
• C. 3.33 hours
• D. 3.5 hours

Hint:

Time new = Time original × (100 / (100 + Increase \%)). Here: 4 × (100 / 120) = 10/3 ≈ 3.33 hours.

Answer 1

The Correct Option is C

Step 1: Understanding the question.
The question asks for the time taken to cover 240 km when speed increases by 20\%.
Step 2: Analyzing the options.
Original speed = 240 km / 4 hours = 60 km/h. New speed = 60 × 1.20 = 72 km/h. Time taken = 240 / 72 = 3.333... hours (or 10/3 hours).
(A) 3 hours: Incorrect — Too low.
(B) 3.2 hours: Incorrect — Approximate but not exact.
(C) 3.33 hours: Correct — Matches 240/72 ≈ 3.33 hours.
(D) 3.5 hours: Incorrect — Overestimation.
Step 3: Conclusion.
The correct answer is (C) 3.33 hours, as time is inversely proportional to speed.