A tank can be filled by a pipe in 7 hours. While a drain pipe can empty the tank in 11 hours. If the first 4 hours, the drain was left open while the pipe is filling it. How long will the tank be filled with water?

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A tank can be filled by a pipe in 7 hours. While a drain pipe can empty the tank in 11 hours. If the first 4 hours, the drain was left open while the pipe is filling it. How long will the tank be filled with water?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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  • hba
Let x = time (hours) for second pipe to fill alone then 3(1/4 + 1/x) = 1 multiplying both sides by 4x: 3(x + 4) = 4x 3x + 12 = 4x 12 hours = x
  • hba
Another solution: 1st pipe rate = 1/4 job/hr --- Together rate = 1/3 job/hr ---- 2nd pipe rate = 1/x job/hr ---------------------------------- Equation: rate + rate = together rate 1/4 + 1/x = 1/3 Multiply thru by 12x to get: 3x + 12 = 4x x = 12 hrs (time required for the 2nd pipe to do the job alone) @stupidinmath

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