SOLUTION: It takes 15 minutes for a faucet to fill up a bathtub, but the drain takes 20 minutes to drain it.Suppose a person leaves the drain open and turns on the faucet. How long will it t

Question 1069201: It takes 15 minutes for a faucet to fill up a bathtub, but the drain takes 20 minutes to drain it.Suppose a person leaves the drain open and turns on the faucet. How long will it take for the tub to fill than?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

The faucet fills {{1/15}}} of the bathtub volume each minute.

The drain release   of the bathtub volume each minute.

The net balance is  =  =  of the bathtub volume per minutes.

Hence, it will take 60 minutes = 1 hour to fill the bathtub if both faucet and drain are turned on.

Answer. 60 minutes = 1 hour.

.
For a wide variety of similar solved joint-work problems with detailed explanations see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".

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)

It takes 2 minutes longer to drain a bathtub than it does it fill it. Suppose you forgot... (answered by jorel555)

A faucet can fill a sink in 5 minutes. It takes twice that long for the drain to empty... (answered by mananth)

If it takes a bathtub ten minutes to drain and twelve minutes to empty, how long would it (answered by mananth)

A bath tub can be filled in 8 minutes but it takes the tub 12 minutes to drain. If the... (answered by ewatrrr)

When a bathtub faucet is turned on (and the drain is shut), it can fill a tub in 6... (answered by mbarugel)

Kimberly leaves the hot and cold water faucets on her kitchen sink turned on on a full... (answered by richwmiller)

a bathtub takes 10 minutes to fill with water and 12 minutes to drain. If the drain stays (answered by bluemockingjay7)

If it takes 15 minutes to fill a pool and 20 minutes to drain it, how long would it take... (answered by stanbon)