SOLUTION: I would greatly appreciate help with this word problem, I am terrible at doing thesse. The amount Q of wasster emptied by a pipe varies directly as the square of the diameter d.

Algebra ->  Systems-of-equations -> SOLUTION: I would greatly appreciate help with this word problem, I am terrible at doing thesse. The amount Q of wasster emptied by a pipe varies directly as the square of the diameter d.      Log On


   

Question 616420: I would greatly appreciate help with this word problem, I am terrible at doing thesse.
The amount Q of wasster emptied by a pipe varies directly as the square of the diameter d. A pipe 8 inches in diameter will empty 128 gal of water over a fixed time period. Assuming the same kind of flow, How many gallons of water are emptied in the same amount of time by a pipe tha is 2 inches in diameter?
? gallons are emptied.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( pipe diameter squared ) / ( gallons emptied in a time period ) is a constant. Call it +k+
+k+=+8%5E2+%2F+128+
+k+=+64%2F128+
+k+=+.5+
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Let +g+ = gallons emptied by 2nd pipe in same time period
Now I can say
+k+=+2%5E2+%2F+g+
+.5+=+4+%2F+g+
+.5g+=+4+
+g+=+8+
8 gallons are emptied by 2 in dia pipe in same time period