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Prashant walks at the speed of 3 m/min . He crosses a playground which is square in shape. The side of the playground is 10√2 m. If he crosses the playground diagonally, then how much time(in seconds) is taken by Prashant  to cross the playground?   

Prashant walks at the speed of 3 m/min . He crosses a playground which is square in shape. The side of the playground is 10√2 m. If he crosses the playground diagonally, then how much time(in seconds) is taken by Prashant  to cross the playground?    Correct Answer 400 seconds 

Given: 

Speed of Prashant = 3 m/min 

The side of playground = 10√2 m/s

Formula Used: 

Diagonal of square = √2 x side of square 

Distance = speed × time 

Calculation: 

 ⇒ Diagonal = 10√2 × √2 = 20 m 

⇒ Distance = speed × time 

⇒ 20 = 3 × time 

⇒ time = 20/3 min 

∴ Time taken by Prashant in seconds = 20/3 × 60 = 400 seconds

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