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Mr. Cohen just got a pool and decided to fill it up using a hose. After a half hour, the pool is filled 1/15 of the way. How much will the pool be filled after 6 hours?

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Answer:

12/15 of the way

Step-by-step explanation:

create a proportion of time/filled = time/filled

let 'x' = fractional portion of filled pool

1/2÷1/15 = 6÷x

complex fraction 1/2÷1/15 is the same as 1/2 × 15/1 and this is 15/2

15/2 = 6/x

cross-multiply to get:

15x = 12

x = 12/15

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