Question

The area of a square field is 60025 m2. A man cycles along its boundary at 18 km/h. In
much time will he return to the starting point?​

Answer 1

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• The area of square field is 60025 m².

• A man cycles along it's boundary at 18 km/h.

Now, we can convert 18 km/h into m/s.

$\rm\longrightarrow\:18\:km/h=\cancel{18}\times\:\dfrac{5}{\cancel{18}}$

$\rm\longrightarrow\:5\:m/s$

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• Required time = ?

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Area of square field = 60025 m²

$\rm\longrightarrow{(side)}^{2}=60025$

$\rm\longrightarrow\:side=\sqrt{60025}$

$\rm\longrightarrow\:side=245$

Now,

Perimeter of square field = 4 × side

Perimeter of square field = 4 × 245

Perimeter of square field = 980 m

then,

we know that,

$\purple{\bigstar}\:\:{\underline{\boxed{\bf\red{Speed=\dfrac{distance}{time}}}}}$

$\rm\therefore\:{\underline{\boxed{\bf\pink{Time=\dfrac{distance}{speed}}}}}$

$\rm\longrightarrow\:Time=\cancel\dfrac{980}{5}$

$\rm\longrightarrow\:Time=196\:sec$

Hence, required time will be 3 min 16 sec

Answer 2

Explanation:

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196 sec

HOPE IT HELPS YOU!