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 ? 

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CDS Elementary Mathematics 16 April 2023 Official Paper
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  1. 36 minutes 
  2. 30 minutes 
  3. 24 minutes 
  4. 18 minutes

Answer (Detailed Solution Below)

Option 3 : 24 minutes 
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Detailed Solution

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Formula used:

Area = (side)2

Perimeter of the square field = 4 × sides

Time = Distance/Speed

Calculation:

The area of the field is 25 hectares (250,000 m2).

For a square,

Araa = (side)2

Side length = √area = √250,000 m = 500 m.

Perimeter of the square field = 4 × sides

Perimeter of the square field = 4 × 500 m = 2000 m.

Walking speed is 5 km/hr = 5000 m/hr.

Time to walk the perimeter = Distance/Speed

⇒ 2000 m / 5000 m/hr = 0.4 hr

But 1 hr = 60 min

Therefore,

Time to walk the perimeter = 60 × 0.4 = 24 minutes.

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