SOLUTION: A tank can be filled by one pipe in 5 hours and by another pipe in 8 hours. it can be emptied by a drain pipe in 6 hours. if all three pipes are open, how long will it take to fill

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A tank can be filled by one pipe in 5 hours and by another pipe in 8 hours. it can be emptied by a drain pipe in 6 hours. if all three pipes are open, how long will it take to fill      Log On

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Question 910638: A tank can be filled by one pipe in 5 hours and by another pipe in 8 hours. it can be emptied by a drain pipe in 6 hours. if all three pipes are open, how long will it take to fill the tank? Please answer. Thanks
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a=5 b=8 c=6
1/a+1/b+1/c=1/x
1/5+1/8+1/6=1/x
48/240+30/240+40/240=1/x
118/240=1/x
240/118=x
or 2.03389831 hours working together
check
1/a+1/b+1/c=1/x
1/5+1/8+1/6=1/2.03389831
48/240+30/240+40/240=1/2.03389831
118/240=1/2.03389831
240/118=2.03389831
2.03389831=2.03389831
ok