Question

. A wheel makes 55 revolutions in going 77 metres. How many revolutions will it make to go 1 Km. 764 metres?
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Answer 1

Correct Question :-

A wheel makes 55 revolutions in going 77 metres. How many revolutions will it make to go 1 Km 764 metres?

Given:

A wheel makes 55 revolutions in going 77 metres.

To find:

How many revolutions will it make to go 1 Km 764 metres?

Solution:

• Let's consider revolutions can be made in 1km 764 meters be x.

• 1km 764m = 1764m

Now, 77,55,1764 & x are given to us.

What to do?

We need to find x.

$\longmapsto \rm 77,55,1764,x.$

Step-by-step explanation :-

Here, A wheel makes 55 revolutions in going 77 metres. We have to find out x(How many revolutions will it make to go 1 Km 764 metres.).

We know that in a proportion,

$\underline{\boxed{\sf Product \: of \: extremes = Product \: of \: means}}$

Here,

Extremes = 55 and 1764.

Means = 77 and x.

Hence,

$\boxed{\rm Product \: of \: extremes = 77\times x = 77x.}$

$\boxed{\rm Product \: of \: means = 55\times 1764 = 97020.}$

→ 77x = 97020

→ x = 97020/77

→ 1260 revolutions.

We observe that :-

Here, the product of means is equal to the product of extremes.

Therefore,

1260 revolutions it will make to go 1 kilometre 764 metres.