document.write( "Question 311925: Word Problem. Solve the problem.
\n" ); document.write( "Two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone? Show your work. \n" ); document.write( "
Algebra.Com's Answer #223041 by mananth(16948)\"\" \"About 
You can put this solution on YOUR website!
Let filling the tank be 1 job.\r
\n" ); document.write( "\n" ); document.write( "two pipes do the job in 10 hours
\n" ); document.write( "they do 1/10 of the job in 1 hour
\n" ); document.write( ".
\n" ); document.write( "one pipe alone does in x hours.
\n" ); document.write( "so it does 1/x of the job in 1 hour.
\n" ); document.write( ".
\n" ); document.write( "the other pipe does in x+15 hours
\n" ); document.write( "so it does 1/ x+15 of the job in 1 hour
\n" ); document.write( ".
\n" ); document.write( "1/x + 1/ x+15 = 1/10\r
\n" ); document.write( "\n" ); document.write( "x+15+x / x(x+15) = 1/10
\n" ); document.write( "2x+15 /x(x+15)= 1/10
\n" ); document.write( "10(2x+15)=x(x+15)
\n" ); document.write( "20x+150=x^2+15x
\n" ); document.write( "x^2+15x-20x-150=0
\n" ); document.write( "x^2-5x-150=0
\n" ); document.write( "x^2-15x+10x-150=0
\n" ); document.write( "x(x-15)+10(x-15)=0
\n" ); document.write( "(x-15)(x+10)=0
\n" ); document.write( "x=15
\n" ); document.write( "one pipe does it in 15 hours
\n" ); document.write( "the other does it in 30 hours
\n" ); document.write( "..
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