Pipe A will fill a tank in 6 hours. Pipe B will fill the same tank in 4 hours. Pipe C will fill the tank in the same number of hours that it will take Pipes A and B working together to fill the tank. What fraction of the tank will be filled if all three of the pipes work together for one hour?
We need to first find out how long it will take A and B working together to fill the tank....this is easy
A fills 1/6 of the tank in one hour
B fills 1/4 of the tank in one hour
Add these fractions = (1/6) + (1/4) = 10/24 = 5/12 = portion of tank filled by both working together in one hour
Time for A and B ti fill the tank = 12/5 hrs
So.....C fills 1 / (12/5) = 5/12 of the tank in one hr
So....if all three work together (5/12) + (5/12) = 10/12 = 5/6 of the tank is filled in one hour