SOLUTION: When a bathtub faucet is turned on (and the drain is shut), it can fill a tub in 6 minutes; when the drain is open, a full bathtub can empty in 11 minutes. How long would it take f

Question 31642: When a bathtub faucet is turned on (and the drain is shut), it can fill a tub in 6 minutes; when the drain is open, a full bathtub can empty in 11 minutes. How long would it take for the bathtub to fill if the water were turned on with the drain left open?
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
You might want to see my lesson on this subject.
If the tub can be filled in 6 minutes with the faucet turned on, then the faucet fills 1/6 of the tub per minute.
Similarly, if a full tub can be emptied in 11 minutes when the drain is open, then the drain "fills" -1/11 of the tub per minute (filling a negative amount would be equivalent to draining it)
Therefore, when they are both working, they can fill:
of the tub per minute.
Based on this, we condlude that it will take 66/5 = 13.2 minutes to fill an empty tub when the faucet is turned on and the drain is open.

I hope this helps!
Get more answers at Online Math Answers.com!

RELATED QUESTIONS
A bathtub can be filled in 8 min. It takes 12 minutes for the bathtub to drain.if the... (answered by ankor@dixie-net.com,ikleyn)

I can't figure this one out. A bathtub faucet will fill a tub in 4 minutes. The drain... (answered by Nate)

when the tub is on full, it can fill the tub to overflowing in 20 minutes (ignore... (answered by ankor@dixie-net.com)

a pipe can fill a tank in 120 minutes, while a drain can drain it in 150 minutes. if the... (answered by solver91311)

the hot water faucet can fill a bathtub in 9 min and the cold water faucet can fill the... (answered by ikleyn,solver91311)

a water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. (answered by ankor@dixie-net.com)

A water faucet can fill a sink in 15 minutes, whereas the drain can empty it in 6... (answered by josgarithmetic,ikleyn)

A water faucet can fill a sink in 6 minutes, whereas the drain can empty it in 4 minutes. (answered by lwsshak3)

A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8... (answered by lwsshak3)