SOLUTION: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?      Log On


   



Question 1101758: If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1/8 as many faucets will fill 1/8 as many tubs
in the same amount of time, so
2 faucets will take 10 hrs to fill 1 tub
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6 times as many faucets will take 1/6 the time
to fill the same number of tubs, so
12 faucets will take 10/6 hrs to fill 1 tub
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With the same number of faucets, it will take
9 times as long to fill 9 times as many tubs, so
12 faucets will take 90/6 hrs to fill 9 tubs
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90/6 = 15
12 faucets will take 15 hrs to fill 9 tubs
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get a 2nd opinion if needed


Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
R%2AT=V, R depends on how many agents

r. the flow rate of any one faucet
Volume is in tubs
Let x be the unknown time for the second part of the description.

system%2816r%2A10=8%2C12%2Ar%2Ax=9%29
-
r=8%2F%2816%2A10%29
r=1%2F20
-
x=9%2F%2812%2Ar%29
x=3%2F%284r%29
x=%283%2F4%29%281%2Fr%29
x=%283%2F4%29%2A20
highlight%28x=15%29