A man covers a certain distance in 3 hours 36 minutes by walking at 5 km/h. He covers the same distance by cycling at 24 km/h. What is the time taken on the cycle in minutes?

Introduction / Context:
This is a distance-speed-time conversion problem. You first compute the distance using walking speed and time, then compute cycling time using the cycling speed. Finally, convert hours to minutes.

Given Data / Assumptions:

• Walking time = 3 hours 36 minutes
• Walking speed = 5 km/h
• Cycling speed = 24 km/h
• Same distance in both cases

Concept / Approach:
Distance = speed * time. Convert mixed time (hours and minutes) into hours for calculation. Then time = distance / speed for the cycling part. Convert final time into minutes.

Step-by-Step Solution:

Verification / Alternative check:
If he cycles for 45 minutes, that is 45/60 = 0.75 hours. At 24 km/h, distance = 24 * 0.75 = 18 km, matching the walking distance.

Why Other Options Are Wrong:

Common Pitfalls:
Forgetting to convert minutes to hours (or vice versa), or using 3.36 hours instead of 3.6 hours. Also, avoid mixing km/h with minutes directly without conversion.

Final Answer:
45 minutes