How long will a man take to walk around the boundary of a square field of area 25 hectares at the rate of 5 km/hr?
Answer
Correct Answer : c ) 24 minutes
Explanation :We need to find the time taken by the man to walk around the boundary of the square field.
Since speed is given in km/hr we need to convert hectare into km2
We know that,
1 hectare = 0.01 km2
25 hectares = 25 x 0.01 km2 = 0.25 km2
As the boundary is square-shaped, the area of the field = (side)2
(side)2 = 0.25
side = 0.5 km
Perimeter of the field = 4(side)
The perimeter of the field = 4 x 0.5 = 2.0 km
We know that,
Speed = Distance/ Time
At a speed of 5 km/hr, time taken to cover the entire field = 2/5 hr = 0.4 hr
Time taken = 0.4 x 60 minutes = 24 minutes.
Hence, (c) is the correct answer.
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