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The area of a square ground is 313600 square meters.. How long will it take for a woman to cross the field diagonally (diagonally) at the rate of \(4\sqrt 2\) m/s? A. 3 minutes B. 2 minutes 20 seconds C. 2 minutes 40 seconds D. 3 minutes 10 seconds

The area of a square ground is 313600 square meters.. How long will it take for a woman to cross the field diagonally (diagonally) at the rate of \(4\sqrt 2\) m/s? A. 3 minutes B. 2 minutes 20 seconds C. 2 minutes 40 seconds D. 3 minutes 10 seconds Correct Answer B

Given:

The area of a square plot is 3,13,600 m2

Speed is 4√2 m/s

Formula used:

Area of square = (side)2

Speed =  Distance/Time

Calculations:

According to the question, we have

Area of square = (side)2

⇒ 3,13,600 = (side)2

⇒ Side = √3,13,600

⇒ Side = 560 m

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The diagonal of the square is 

Diagonal = Side × √2

⇒ Diagonal = 560√2 m

Now, Time taken by woman to cross-field diagonally

Time = Distance/Speed

⇒ Time = (560√2)/(4√2)

⇒ Time = 140 seconds

⇒ Time (in minutes) = 2 minutes 20 seconds

∴ The time taken by woman to cross the field diagonally is 2 minutes 20 seconds.

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