Mathematics: One hose can fill a goldfish pond in 36 minutes, and two hoses can fill the same pond in 20 minutes. find how long it takes the second hose alone to fill the pond.

h = v × 3/BStep-by-step explanation:I hope I helped you^_^...

One hose can fill a goldfish pond in 36 minutes,

salmamontero1998

30.12.2021

The time taken by the second hose alone to fill the pond is 45 minutes.

Step-by-step explanation:

One hose can fill a goldfish pond in 36 minutes.

Let second hose can fill the pond alone in x minutes.

The part of goldfish pond filled by one hose in 1 minute is $\frac{1}{36}$ .

The part of goldfish pond filled by second hose in 1 minute is $\frac{1}{x}$ .

Two hoses can fill the same pond in 20 minutes.

The part of goldfish pond filled by both hose in 1 minute is $\frac{1}{20}$ .

$\frac{1}{36}+\frac{1}{x}=\frac{1}{20}$

$\frac{x+36}{36x}=\frac{1}{20}$

20(x+36)=36x

20x+720=36x

720=36x-20x

720=16x

$\frac{720}{16}=x$

45=x

Therefore, the time taken by the second hose alone to fill the pond is 45 minutes.

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claudia122752

19.08.2022

h = v × 3/B

$h = 18 \: cm$

Step-by-step explanation:

$v = \frac{1}{3} Bh \\ \\ h = v \div \frac{1}{3} B \\ \\ h = v \times \frac{3}{B} \\ \\ h = 216 \times \frac{3}{36} \\ \\ h = 18 \: cm$

I hope I helped you^_^

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