I want to know how long will it take to fill the sink if afaucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open

pezgirl79u 2022-10-17 Answered
I want to know how long will it take to fill the sink if afaucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open
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Answers (1)

Martha Dickson
Answered 2022-10-18 Author has 20 answers
I wrote this as a function of fractions. If filling is treated as a positive value, broken into fifths (5 min per fill), and drainage is a negative value, broken into eighths, the equation looks like this:
x 5 - x 8 = 1
Where the 1 is a full sink. Now, we solve for x:
x 5 × 8 8 - x 8 × 5 5 = 1 8 x 40 - 5 x 40 = 1
3 x 40 × 40 = 1 × 40 3 x = 40
x = 40 3 = 13 1 3
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