SOLUTION: 8. A tank can fill by one pipe in 9 hours and by another pipe in 12 hours. Starting empty, how long will it take to fill the tank if water is being taken out by a third pipe at a r
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Question 508218: 8. A tank can fill by one pipe in 9 hours and by another pipe in 12 hours. Starting empty, how long will it take to fill the tank if water is being taken out by a third pipe at a rate per hour equal to one-sixth the capacity of the tank? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A tank can fill by one pipe in 9 hours and by another pipe in 12 hours.
Starting empty, how long will it take to fill the tank if water is being taken out by a third pipe at a rate per hour equal to one-sixth the capacity of the tank?
:
Let t = time required to fill tank with all three pipes open
:
Let a full tank = 1
: + - = 1
multiply by 36, to clear the denominators, results
4t + 3d - 6t = 36
t = 36 hrs
:
:
Check + - =
4 + 3 - 6 = 1
