Question

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Answer 1

Answer:

Question:-

• Nagma runs around a rectangle park 120m wide at the rate of 7.5km/hour. in how much time will she complete five round.

Given Parameters :

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Length of rectangular park = 180m.

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Breadth of rectangular park = 120m.

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Speed of Nagma = 7.5 km/hr.

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We have to find the how much time will Nagma complete in five rounds?

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We know that, if we are given with the length of rectangular park and the breadth of rectangular park, we have the required formula, that is,

$\\ \\ \sf{: \implies Perimeter_{(rectangle)} = 2(l + b)}$

Substituting all the given values in the formula, we get :

$\\ \sf{: \implies Perimeter_{(rectangle)} = 2(180 + 120)} \\ \\ \\ \sf{:\implies Perimeter_{(rectangle)} = 2(300)} \\ \\ \\ \sf{:\implies \boxed{ \frak{ \purple{Perimeter_{(rectangle)} = 600}}}}$

Now,

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→ Distance travelled in one round = 600

→ Distance travelled in five round = 5 × 600

→ Distance travelled in five round = 3000m.

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Converting from meter to kilometre :

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→ Distance = 3000/1000

→ Distance = 3km.

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Finally,

We know that, if we are given with the distance and speed of Nagma, we have the required formula, that is,

$\\ \\ \sf{:\implies Time = \dfrac{Distance}{Speed}}$

Substituting the given values in the formula, we get :

$\\ \sf{:\implies Time = \dfrac{3}{7.5}} \\ \\ \\ \sf{:\implies Time = \dfrac{30}{75}} \\ \\ \\ \sf{:\implies \underline{\boxed{ \frak{ \red{Time = 0.4}}}}}$

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$\sf\therefore\underline{\textsf{The time taken to complete five rounds by Nagama is \textbf{0.4 hour.}}}$