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Stells [14]
3 years ago
7

When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.

How long would it take a third pipe to fill the pool on its own?
Mathematics
2 answers:
RSB [31]3 years ago
8 0

12 x3=36 36%2= 18 last one is18 hours
18 hours
ladessa [460]3 years ago
5 0
3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}

Time needed :

1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}

----------------------------------------------------------------------------------------
Answer: It will take 36 hours for the third pipe to fill the pool.
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