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: Idea:
Distance and time are in direct proportion when the speed does not change. Twice the distance needs twice the time.

Step 2: Find the ratio:
$288 \div 72 = 4$. The new distance is 4 times the old one.

Step 3: Scale the time:
New time $= 4 \times 3 = 12$ hours.

Step 4: Compare:
Option 3 says 12 hours. The other options are not 4 times 3, so they are not right.

Final Answer:
The time needed is 12 hours. \[ \boxed{12 \text{ hours}} \]