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?
+129849 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
