Question

6. A rectangular field is 72 m by 58 m. Amar walks
round it at the rate of 3 km per hour. What time
will he take in taking 2 rounds.
​

Answer 1

$\large\sf\underline{Question}$

• A rectangular field is 72 m by 58 m. Amar walks round it at the rate of 3 km per hour. What time will he take in taking 2 rounds ?

$\large\sf\underline{Given}$

• Dimension of rectangular field = 72 m by 58 m .

• Speed of Amar = 3 km / hour .

$\large\sf\underline{To\:find}$

• Time taken to make two rounds .

$\large\sf\underline{Solution}$

Since Dimension of rectangular field = 72 m by 58 m .

Perimeter of rectangular field :

$\small{\underline{\boxed{\mathrm\pink{➜\:2(l+b)}}}}$

$\sf➛\:2 \times ( 72+58)$

$\sf➛\:2 \times 130$

${\sf{{\purple{➤\:260\:m}}}}$

The distance took by Amar in taking 2 rounds :

$\sf➛\:2 \times 260$

${\sf{{\purple{➤\:520\:m}}}}$

Speed of Amar = 3 km / hr .

Converting it into m / sec :

$\sf➛\:\frac{3 \times 1000}{3000}m/sec$

$\sf➛\:\frac{5}{6}m/s$

Total time taken :

$\small{\underline{\boxed{\mathrm\pink{➜\:\frac{Distance}{Time}}}}}$

$\sf➛\:\frac{520}{ \frac{5}{6} }$

$\sf➛\:520 \times \frac{6}{5}$

$\sf➛\:104 \times 6$

$\sf➛\:104 \times \frac{6}{60}\:min$

$\small{\underline{\boxed{\mathrm\red{➤\:10.4\:min}}}}$

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