SOLUTION: One pipe can fill a tank in 10 hours, and the second pipe takes 6 hours, how long will it take to fill the tank if both pipes are open?

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Question 993126: One pipe can fill a tank in 10 hours, and the second pipe takes 6 hours, how long will it take to fill the tank if both pipes are open?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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One pipe fills  1%2F10  of the reservoir volume in  1  hour.

The second pipe fills  1%2F6  of the reservoir volume in  1  hour.

Working together,  two pipes fill  1%2F10 + 1%2F6 = 3%2F30 + 5%2F30 = 8%2F30 = 4%2F15  of the reservoir volume in  1  hour.

So,  it will take  15%2F4 = 33%2F4  hours for two pipes to fill the reservoir.

It is a joint work problem.

For more solved problems of this type see the lesson  Using fractions to solve word problems on joint work  in this site.

It is free of charge and without registration.

Good luck!