SOLUTION: Pipe a can fill a tank in 4 hours while pipe b can fill the same tank in 6 hours.How much of the tank is filed by pipe a in 1 hour?How much of the tank is filed by pipe b in 1 hour

Question 214082: Pipe a can fill a tank in 4 hours while pipe b can fill the same tank in 6 hours.How much of the tank is filed by pipe a in 1 hour?How much of the tank is filed by pipe b in 1 hour?How much of the tank is filled in 1 hour if both pipe open?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In words:
Pipe a's rate is:
(1 tank)/(4 hrs) =
, or (1/4 of a tank)/(1 hr)
Pipe a can fill 1/4 of the tank in 1 hour
Pipe b's rate is:
(1 tank)/(6 hrs) =
or (1/6 of a tank)/(1 hour)
Pipe b can fill 1/6 of the tank in 1 hour
------------------------------------------------
(pipe a's rate of filling) + (pipe b's rate of filling) = (rate of filling with both pipes open)
Let = fraction of tank filled in 1 hour with both pipes open

With both pipes open, 5/12 of the tank can be filled in 1 hour

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