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

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) (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

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