A man walks around a square garden of perimeter 8 km at a speed of 2 km/h, 3 km/h, 4 km/h and 5 km/h on each side of the square garden. Calculate the average speed.Question 5Answera.3.116km/hrb.2.912km/hrc.3.312km/hrd.3.212km/hr
Question
A man walks around a square garden of perimeter 8 km at a speed of 2 km/h, 3 km/h, 4 km/h and 5 km/h on each side of the square garden. Calculate the average speed.Question 5Answera.3.116km/hrb.2.912km/hrc.3.312km/hrd.3.212km/hr
Solution
The average speed is calculated by dividing the total distance by the total time taken.
Step 1: Calculate the length of each side of the square garden. Since the perimeter is 8 km, each side is 8/4 = 2 km.
Step 2: Calculate the time taken to walk each side of the garden.
- At a speed of 2 km/h, the time taken to walk one side is 2/2 = 1 hour.
- At a speed of 3 km/h, the time taken to walk one side is 2/3 = 0.67 hours.
- At a speed of 4 km/h, the time taken to walk one side is 2/4 = 0.5 hours.
- At a speed of 5 km/h, the time taken to walk one side is 2/5 = 0.4 hours.
Step 3: Calculate the total time taken to walk around the garden. The total time is 1 + 0.67 + 0.5 + 0.4 = 2.57 hours.
Step 4: Calculate the average speed. The total distance is 8 km and the total time is 2.57 hours, so the average speed is 8/2.57 = 3.116 km/h.
So, the answer is a. 3.116 km/hr.
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