It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it takes the two pumps hours to drain the pool. How long will it take the newer pump to drain the pool working alone? Do not do any rounding.

Correct Newer pump   x = 3 hours

Step-by-step explanation:

We will first define the variables, let x be the time of the new pump

and 2 x the time of the old pump.

We set the formula as required for both pumps to work together to

drain the pool in 2 hours.

1/x + 1/2x = 1/2  ⇒

the common denominator for both divisions is 2x and that is why we multiply the first fraction by 2 and get:

2/2x + 1/2x = 1/2 ⇒  3/2x = 1/2  ⇒ 2x = 6  ⇒ x = 3 hours

x = 3 hours

God is with you!!!

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet