SOLUTION: if there are two faucets and one takes 4 minutes to fill a bucket and the other takes 6 minutes to fill a bucket then how long will it take to fill the bucket once with both faucet

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if there are two faucets and one takes 4 minutes to fill a bucket and the other takes 6 minutes to fill a bucket then how long will it take to fill the bucket once with both faucet      Log On


   

Question 556067: if there are two faucets and one takes 4 minutes to fill a bucket and the other takes 6 minutes to fill a bucket then how long will it take to fill the bucket once with both faucets running at the same time in seconds?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of filling
faucet 1: ( 1 bucket ) / ( 4 min )
faucet 2: ( 1 bucket ) / ( 6 min )
Let t = time in minutes to fill
bucket with both faucets running
+1%2F4+%2B+1%2F6+=+1%2Ft+
Multiply both sides by +12t+
+3t+%2B+2t+=+12+
+5t+=+12+
+t+=+12%2F5+
To get time in sec, multiply by +60+
+%2812%2F5%29%2A60+=+144+
It will take 144 sec to fill the
bucket with both faucets running