Question

A swimming pool can be filled in 4 hours by 8 pumps of same type. how many such pumps are required to fill it in 12/5 hours.

Do it by the method of direct or inverse variation.

Right answer will get 100
points!!!

and mark as brainliest!!!!​

Answer 1

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Unitary method

In 4 hours = 8 pumps can fill the swimming pool

In 1 hour = 8/4

In 11/4 (2.75) hours = 8/4 * 11/4 = 88/16 = 5.5 pumps

Proportion method

Let the required pumps to fill the swimming pool be x

Proportion : 4 : 2.75 : : 8 : x

We know that, Product of means = Product of extremes

Here extremes = 4, x ; means =2.75, 8

2.75×8=4×x

22=4x

22/4 = x

x = 11/2

x = 5.5

Therefore 5.5 pumps are required if the pool is to be filled in 11/4 hours.

Answer 2

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Unitary method

In 4 hours = 8 pumps can fill the swimming pool

In 1 hour = 8/4

In 11/4 (2.75) hours = 8/4 * 11/4 = 88/16 = 5.5 pumps

Proportion method

Let the required pumps to fill the swimming pool be x

Proportion : 4 : 2.75 : : 8 : x

We know that, Product of means = Product of extremes

Here extremes = 4, x ; means =2.75, 8

2.75×8=4×x

22=4x

22/4 = x

x = 11/2

x = 5.5

Therefore 5.5 pumps are required if the pool is to be filled in 11/4 hours.