A man covers a certain distance in 3 hours 36 minutes if he walks at the rate of 5 km/hr. If he covers the same distance on cycle at the rate of 24 km/hr, then the time taken by him in minutes is?

Sure, let's solve this step by step:

Step 1: First, we need to find out the distance covered by the man. We know that he walks at a speed of 5 km/hr for 3 hours and 36 minutes.

Step 2: Convert 3 hours 36 minutes into hours. We know that 1 hour = 60 minutes. So, 36 minutes = 36/60 = 0.6 hours. Therefore, the total time in hours is 3 + 0.6 = 3.6 hours.

Step 3: Now, we can calculate the distance. We know that distance = speed * time. So, the distance covered by the man = 5 km/hr * 3.6 hours = 18 km.

Step 4: Now, we need to find out how long it takes for the man to cover the same distance on a cycle at a speed of 24 km/hr. We know that time = distance / speed. So, the time taken by the man = 18 km / 24 km/hr = 0.75 hours.

Step 5: Convert 0.75 hours into minutes. We know that 1 hour = 60 minutes. So, 0.75 hours = 0.75 * 60 = 45 minutes.

So, the man would take 45 minutes to cover the same distance on a cycle at a speed of 24 km/hr.