At a dairy plant, a milk tank can be filled in 6 hours (using the in-valve). Using the out-valve, the tank can be emptied in 10 hours. If both valves are open and milk is being pumped into the tank, how long will it take to fill the tank?

[tex]\begin{aligned}\dfrac{1}{6} - \dfrac{1}{10} &= \dfrac{1}{6}\cdot\bold{\dfrac{5}{5}} - \dfrac{1}{10}\cdot\bold{\dfrac{3}{3}}\\[0.5em]&= \dfrac{5}{30} - \dfrac{3}{30}\\[0.5em]& = \dfrac{2}{30}\\[0.5em]& = \dfrac{1}{15}\end{aligned}[/tex]

we see that 1/15 of the tank is filled per hour when both valves are open.

It will take 15 hours to fill the tank.

At a dairy​ plant, a milk tank can be filled in 6 hours​ (using the​ in-valve). Using the​ out-valve, the tank can be emptied in 10 hours. If both valves are open and milk is being pumped into the​ tank, how long will it take to fill the​ tank?

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At a dairy plant, a milk tank can be filled in 6 hours (using the in-valve). Using the out-valve, the tank can be emptied in 10 hours. If both valves are open and milk is being pumped into the tank, how long will it take to fill the tank?