document.write( "Question 72136This question is from textbook Algebra and Trigonometry: Structure and Method
\n" ); document.write( ": The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank? \n" ); document.write( "
Algebra.Com's Answer #51590 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank?
\n" ); document.write( ":
\n" ); document.write( "Let x = time for outlet to empty the tank:
\n" ); document.write( ":
\n" ); document.write( "Let the filled tank = 1
\n" ); document.write( ":
\n" ); document.write( "The intake is filling for 9 hrs (+)
\n" ); document.write( "The outlet is draining for 9 hrs (-)
\n" ); document.write( "\"9%2F6+-+9%2Fx\" = 1
\n" ); document.write( ":
\n" ); document.write( "Multiply the equation by 6x to get rid of the denominators
\n" ); document.write( "9x - 6(9) = 6x
\n" ); document.write( "9x - 54 = 6x
\n" ); document.write( "9x - 6x = 54
\n" ); document.write( "3x = 54
\n" ); document.write( "x = 54/3
\n" ); document.write( "x = 18 hrs for the outlet to empty a full tank by itself
\n" ); document.write( ":
\n" ); document.write( "Check: 9/6 - 9/18 =
\n" ); document.write( "3/2 - 1/2 = 1
\n" ); document.write( ":
\n" ); document.write( "Another words:
\n" ); document.write( "the input will fill a tank and a half in 9 hrs
\n" ); document.write( "the outlet will remove a half a tank in 9 hrs
\n" ); document.write( "Leaving a full tank
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "
\n" );