document.write( "Question 147261: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?: A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at spout B.If the rate of flow through A is 2 gallons per hour,how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours? the answer in the book is 4/3 and i don't know how to get this answer would you please explain it. \n" ); document.write( "

Algebra.Com's Answer #107649 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
A Distillate flows into an empty 64-Gallon drum at spout A and out of the drum at
\n" ); document.write( " spout B. If the rate of flow through A is 2 gallons per hour,how many gallons
\n" ); document.write( " per hour must flow out at spout B so that the drum is full in exactly 96 hours?: explain it.
\n" ); document.write( ":
\n" ); document.write( "Let x = gal/hr that must flow out of spout B
\n" ); document.write( ":
\n" ); document.write( "amt in - amt out = 64 gal
\n" ); document.write( ":
\n" ); document.write( "96(2) - 96x) = 64
\n" ); document.write( ":
\n" ); document.write( "192 - 96x = 64
\n" ); document.write( ":
\n" ); document.write( "-96x = 64 - 192
\n" ); document.write( ":
\n" ); document.write( "-96x = -128
\n" ); document.write( "x = $\"%28-128%29%2F%28-96%29\"$ reduces to + $\"4%2F3\"$
\n" ); document.write( " \n" ); document.write( "

\n" );