SOLUTION: it takes a small pipe three times longer to fill a gasoline tank than a larger pipe and together they can fill in 6 hrs , how long would it take the larger pipe to fill the tank?

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Question 357143: it takes a small pipe three times longer to fill a gasoline tank than a larger pipe and together they can fill in 6 hrs , how long would it take the larger pipe to fill the tank?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
1/3X+1/X=1/6
(1+3)/3X=1/6
4/3X=1/6
3X=4*6
3X=24
X=24/3
X=8 HOURS FOR THE LARGER PIPE TO FILL THE TANK ALONE.
3*8=24 HOURS FOR THE SMALLER PIPE TO FILL THE TANK ALONE.
PROOF:
1/24+1/8=1/6
(1+3)/24=1/6
4/24=1/6
1/6=1/6