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The area of a square field is 7200 m2. How long will a cycle take to cross the field diagonally at a constant rate of 4 km/h?

The area of a square field is 7200 m2. How long will a cycle take to cross the field diagonally at a constant rate of 4 km/h? Correct Answer <span class="math-tex">\(\frac{9}{5}\)</span> minutes

Given

area of a square field = 7200 m2

Formula used

Area of square = (side)2

Diagonal of square = √(side)2 + (side)2

Time = Distance/speed

Calculation

Distance cover = √7200 + 7200

⇒ √14400

⇒ 120 m

Speed of cycle = 4 km/h

⇒ (4 × 1000)/60

⇒ 400/6

⇒ (200/3) m/min

Time taken by cycle to cover 120 m = 120/(200/3)

⇒ (120/1) × (3/200)

⇒ 360/200

⇒ 9/5 minutes

∴ 9/5 minutes will a cycle take to cross the field diagonally at a constant rate of 4 km/h

 

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