Question

A person completes a journey of 72 km in 3 hours. How much time will he take to cover a distance of 288 km?

• A. 6 hours
• B. 9 hours
• C. 12 hours
• D. 15 hours

Hint:

Speed is \(72/3 = 24\) km/h, so time is \(288/24\).

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The person moves at a fixed speed. We know how long 72 km takes and need the time for 288 km.

Step 2: Key Formula or Approach:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}}, \quad \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Step 3: Detailed Explanation:
Speed \(= \dfrac{72}{3} = 24\) km/h.
Time for 288 km \(= \dfrac{288}{24} = 12\) hours.

Step 4: Check the other options:
6 hours would give a speed of 48 km/h and 9 hours gives 32 km/h. 15 hours gives 19.2 km/h. None of these equal 24 km/h, so only 12 hours is right.

Final Answer:
He takes 12 hours. \[ \boxed{12 \text{ hours}} \]