Question

Rahul Run around a rectangular Park 180 metre long and 120 M wide at the rate of 7.5 km house in how much time will see complete 5 round

Answer 1

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Given,
Length of Rectangular park = 180 m
and Breadth of Rectangular park = 120 m

Running speed of Rahul = 7.5 km/h

7.5 kmph = 7.5 × $\frac{5}{18} = \frac{25}{12}$ mps

Since , 1 kmph = $\frac{5}{18}$ mps

Rahul ran around the Rectangular park
=> Distance covered in running by Rahul = Perimeter of the Rectangular park

We have,
Perimeter of Rectangle = 2(l+b)

$\implies$ Distance covered for one Round= 2(180+120) = 2(300) = 600 m

For 5 Rounds ,
Distance covered = 3000

We have,
Speed = $\frac{Distance}{time}$

time = $\frac{Speed}{Distance}$

$\implies$time taken = $\frac{3000}{\frac{25}{12}}$

$\implies$ time taken = $\frac{36000}{25}$

$\implies$ time taken = 1440 s = 24 min

Therefore, Rahul will take 24 min for 5 Rounds around Rectangular park