Question

2. A park is 1500 m long and 750 m wide. A cyclist has to take four rounds of this park. How much time will be take at the speed of 4.5 km/ h2​

Answer 1

Given :-

• Length of park = 1500m
• Breadth of park = 750m
• Speed of cyclist = 4.5 km/h

To Find :-

• Time taken by cyclist = ?

Solution :-

• To calculate the time , at first we have to find the distance covered by cyclist in four rounds of the park then calculate time taken by cyclist.

Calculation begins :-

Distance covered in one round = Perimeter of park

⇒ Total distance covered = 4[2(L + B)]

⇒ 4[2(1500 + 750)]

⇒ 4[2 × 2250]

⇒ 4 × 4500

⇒ 18000m

• Just convert distance m into km

Therefore, total distance = 18000/1000 = 18km

• Now calculate time taken by cyclist :-

⇒ Time = Distance/Speed

⇒ Time = 18/4.5

⇒ Time = 4 hours

Hence,

• Time taken by cyclist = 4 hours

Answer 2

Given :

A park is 1500 m long and 750 m wide. A cyclist has to take four rounds of this park. How much time will be take at the speed of 4.5 km/ h

Method :

• First of all we will be find the perimeter from the given data.

• Then, convert into into km

• Multiply the perimeter with 4 rounds

• Then, applying formula for getting time we will put the values of distance and speed

• Finally, we will get the time taken by the cyclist

Solution :

Given Data :

Length = 1500 m

Breadth = 750 m

Cyclist speed = 4.5 km/h

Finding Perimeter :

We know that,

$\: \: \: \: \: \: \: \star \: \red{ \underline{ \green{ \boxed{ \pink{ \frak{{ \sf P}erimeter_{(Rectangle)} = 2(Length + Breadth)}}}}}}$

Putting their respective values we get

$\twoheadrightarrow \frak{ {\sf P}erimeter_{(Rectangle)} = 2(1500 + 750)}$

$\twoheadrightarrow \frak{ {\sf P}erimeter_{(Rectangle)} = 2(2250)}$

$\twoheadrightarrow \frak{ {\sf P}erimeter_{(Rectangle)} = 4500 \: m}$

Converting into km we get 4.5 km

So, the perimeter is 4.5 km

Now, according to the question

He covered 4 rounds

And we got that one round = 4.5 km

Hence, 4 rounds = 4 × 4.5 km = 18 km

Formula for getting Time :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \red{ \underline{ \green{ \boxed{ \pink{ \frak{Time= \frac{Distance}{Speed}}}}}}}$

Data :

• Distance = 18 km

• Speed = 4.5 km/h

Putting the values we get

$\twoheadrightarrow \frak{ Time= \frac{18 \: km}{4.5 \: km {h}^{ - 1} } }$

$\looparrowright \frak{Time= 4 \: hours}$

• Henceforth, the time taken is 4 hours

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