document.write( "Question 789823: It takes Pump A 10 minutes longer to fill a tank with water than it takes pump B to fill the same tank. Together the two pumps can fill the tank in 12 minutes. How long does it take each pump to fill the tank alone? I need help setting up the problem. Thank You! \n" ); document.write( "
Algebra.Com's Answer #478949 by lwsshak3(11628)\"\" \"About 
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t takes Pump A 10 minutes longer to fill a tank with water than it takes pump B to fill the same tank. Together the two pumps can fill the tank in 12 minutes. How long does it take each pump to fill the tank alone? I need help setting up the problem.
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\n" ); document.write( "let x= minutes pump B takes to fill the tank alone
\n" ); document.write( "its work rate=1/x
\n" ); document.write( "x+10=minutes pump A takes to fill the tank alone
\n" ); document.write( "its work rate=1/(x+10)
\n" ); document.write( "12=minutes it takes to fill the tank pumps A & B working together
\n" ); document.write( "1/12=Their work rate
\n" ); document.write( "sum of individual work rates=work rate working together.
\n" ); document.write( "(1/x)+(1/(x+10))=1/12
\n" ); document.write( "x+10+x=(x^2+10x)/12
\n" ); document.write( "24x+120=x^2+10x
\n" ); document.write( "x^2-14x-120=0
\n" ); document.write( "(x+6)(x-20)=0
\n" ); document.write( "x=-6(reject)
\n" ); document.write( "or
\n" ); document.write( "x=20
\n" ); document.write( "ans:
\n" ); document.write( "minutes pump B takes to fill the tank alone=20
\n" ); document.write( "minutes pump A takes to fill the tank alone=x+10=30\r
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