Question

Water hose has filled up 1/7 of a pool after 1/10 of an hour at this rate how many hours will it take to fill the pool

Answer 1

It takes
`(7)/(10)` of an hour to fill the pool

Explanation:

Let x be the number of hours taken to fill the pool.

Using proportion;

1/7 pool= 1/10 hour

1 pool = x

cross-multiply

1/7 x = 1/10

`(x)/(7)` =
`(1)/(10)`

cross- multiply

10x = 7

Divide both-side of the equation by 10

`(10x)/(10)` =
`(7)/(10)`

(On the left-hand side of the equation 10 at the numerator will cancel-out 10 at the denominaor while at the right-hand side of the equation 7 will be divided by 10)

x =
`(7)/(10)` of an hour

It takes
`(7)/(10)` of an hour to fill the pool

Answer 2

Given that

time required to filled 1/7 of pool = 1/10

so time required to fill 1 pool = 1/10 ÷ 1/7 = 1/10 × 7 = 7/10 hrs

So 0.7 hrs will require to fill the pool at given rate