SOLUTION: if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together? ive tried taking

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together? ive tried taking      Log On


   

Question 691189: if one faucet fills the sink in 3 minutes and another fills it in 2 minutes, how long will it take both faucets to fill the sink if both are turned on together?
ive tried taking the average but i was told it wasnt right without an explanation and then i tried using equations but then i couldnt put it together.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if one faucet fills the sink in 3 minutes and another fills it in 2 minutes,
how long will it take both faucets to fill the sink if both are turned on together?
:
Let t = time required to fill it with both faucets on
Let the completed job = 1; (a full sink)
:
Each faucet will do a fraction of the job, the two fractions add up to 1
:
t%2F3 + t%2F2 = 1
Multiply by 6 to clear the denominators, resulting in:
2t + 3t = 6
5t = 6
t = 6/5
t = 1.2 minutes working together
:
:
:
Check this
1.2%2F3 + 1.2%2F2 =
.4 + .6 = 1