The 3 pipes working together will fill a tank in T = 3.10 hours
How long will it take them to fill the tank together?
We know that:
Pipe A takes 6 hours.
Pipe B takes 10 hours.
Pipe C takes 18 hours.
Then the total time it would take to fill a tank if the 3 pipes work together is given by T in the equation:
(1/6 + 1/10 + 1/18)*T = 1
T = 1/(1/6 + 1/10 + 1/18)
T = 3.10 hours.