SOLUTION: Hello, One pipe can fill a tank in 2 h, a second pipe can fill the tank in 4 h, and a third pipe can fill the tank in 5 h. How long will it take to fill the tank with all three

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Hello, One pipe can fill a tank in 2 h, a second pipe can fill the tank in 4 h, and a third pipe can fill the tank in 5 h. How long will it take to fill the tank with all three       Log On


   



Question 354673: Hello,
One pipe can fill a tank in 2 h, a second pipe can fill the tank in 4 h, and a third pipe can fill the tank in 5 h. How long will it take to fill the tank with all three pipes working?
Okay, so this is how I thought it might look like:
1/2 + 1/4 + 1/5 = 3
Then I multiplied all of them by the LCM 20. However, when I was done my answer came out to be 60/19 and that just does not seem right to me. Hope you can help me with this problem! Thank you for your time = )

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you're kind of on the right track

each pipe fills some FRACTION of the pool based on the individual times
___ the fractions sum to one ,the WHOLE pool

x = combined time

(x / 2) + (x / 4) + (x / 5) = 1