SOLUTION: Please help me solve, If tap A, B, C can fill a tank of water in 40 minutes, 30 Minutes, 60 Minutes respectively. How long will it take all of them to fill the same tank at once

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Please help me solve, If tap A, B, C can fill a tank of water in 40 minutes, 30 Minutes, 60 Minutes respectively. How long will it take all of them to fill the same tank at once      Log On


   



Question 820313: Please help me solve,
If tap A, B, C can fill a tank of water in 40 minutes, 30 Minutes, 60 Minutes respectively. How long will it take all of them to fill the same tank at once?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Taps A in 40 minutes, B in 30 minutes, C in 60 minutes and together t minutes.
completed in 1 minute are
A in 1/40 minute, B in 1/30 minute, C in 1/60 minute and together 1/t minute
now we can write
1/40 + 1/30 + 1/60 = 1/t
120 is common denominator
3/120 + 4/120 + 2/120 = 1/t
9/120 = 1/t
t = 120/9 = 13.3 minutes