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

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
RELATED QUESTIONS
A tank can be filled in 9 hours by one pipe and in 12 hours by another. How long will it... (answered by josgarithmetic)

a pipe can fill a tank in 12 hours and another can empty in 24 hours. if both the pipes... (answered by josmiceli)

One pipe can fill a tank in 6 hours, and another pipe can fill the same tank in 8 hours.... (answered by josmiceli)

one pipe can fill a tank in 12 hours, and another can fill the tank in 8 hours. how long... (answered by solver91311,josmiceli)

An inlet pipe can fill a tank in 6 hours and another inlet pipe can fill it in 8 hours... (answered by josgarithmetic)

A milk tank can be filled by pip A in 6 hours, by pipe B in 8 hours and by pipe C in 12... (answered by mananth)

A pipe can fill a tank in 3 hours. Another pipe can empty the tank in 6 hours. If the... (answered by josmiceli)

Pipe A can fill a tank in 8 hours. When both A and pipe B are used th tank is filled in 5 (answered by ankor@dixie-net.com)

One pipe can fill a tank in 6 hours and another pipe can fill the same tank in 3 hours. A (answered by macston)