Mathematics, 20.09.2019 20:30, chynad6395

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours. if both pumps are opened at the same time, how many hours will it take to fill the pool?

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answered: ecbow9232

It will take 4.4 hours to fill the swimming pool when two pumps are opened.

Step-by-step explanation:

Given:

One pump can fill a swimming pool in 8 hours and another pump can fill it in 10 hours.

First we need to calculate, in 1 hour how much water a pump pour into the swimming pool.

In 1 hour, the first pump can pour water into the swimming pool = $\frac{1}{8}$

In 1 hour, the second pump can pour water into the swimming pool = $\frac{1}{10}$

Let "t" be the time taken to fill the pool when two both the pups are opened.

$\frac{1}{8} + \frac{1}{10} = \frac{1}{t}$

Now we have to solve for t. We have to take LCD of 8 and 10.

The Least common denominator (LCD) of 8 and 10 is 40.

$\frac{5}{40} + \frac{4}{40} = \frac{1}{t}$

$\frac{5 + 4}{40} = \frac{1}{t}$

$\frac{9}{40} = \frac{1}{t}$

Now we have to cross multiply and solve for t

9t = 40

Dividing both sides by 9, we get

t = 4.444

Which is approximately, t = 4.4 hours.

Therefore, it will take 4.4 hours to fill the swimming pool when two pumps are opened.

answered: Guest

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step-by-step explanation:

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answered: Guest

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).