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4 years ago

15

It takes 20 hours to fill the pool using the first hose. It takes 16 hours to fill the pool using the second hose. How long woul

d it take if you used both?

2 answers:

BARSIC [14]4 years ago

6 0

Answer: 8 $\frac{8}{9}$ hours

Step-by-step explanation:

Let x represent the time it takes if both are used.

The unit time it takes to fill the pool using the first house is 1/20 and also the unit time it takes to fill the pool using the second house is 1/16 , therefore:

1/16 + 1/20 = 1/x

$\frac{4+5}{20}$ = $\frac{1}{x}$

$\frac{9}{80}$ = $\frac{1}{x}$

Therefore

x = $\frac{80}{9}$

Therefore, it takes 8 $\frac{8}{9}$ hours using both houses

Sholpan [36]4 years ago

4 0

Answer:

8 and 8/9 hours

Step-by-step explanation:

The rate of filling for the first hose is (1 pool/20 hrs)

The rate of filling for the second hose is (1 pool/16 hrs)

Let t= time to fill pool using both hoses

1/120 + 1/16 = 1/t

Multiply both sides by 320 t (which is 20*16)

300t/20 + 302t/16 = 320t/t

16t +20t = 320

36t = 320

t= 8.8888888 = 8 and 8/9

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