document.write( "Question 632751: If two inlet pipes are both open, they can fill a pool in 4 hours and 48 minutes. One of the pipes can fill the pool by itself in 8 hours. How long would it take the other pipe to fill the pool by itself? \n" ); document.write( "

Algebra.Com's Answer #398481 by josmiceli(19441) $\"\"$ $\"About$

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Add the rates of filling
\n" ); document.write( "Let one pipe's rate = ( 1 pool filled ) / ( x hours )
\n" ); document.write( "The other pipe's rate = ( 1 pool filled ) / ( 8 hours )
\n" ); document.write( "Both pipes together = ( 1 pool filled ) / ( 4 and 48/60 hrs )
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+1%2F8+%2B+1%2Fx+=+1%2F%2824%2F5%29+\"$
\n" ); document.write( " $\"+1%2F8+%2B+1%2Fx+=+5%2F24+\"$
\n" ); document.write( "Multiply both sides by $\"+24x+\"$
\n" ); document.write( " $\"+3x+%2B+24+=+5x+\"$
\n" ); document.write( " $\"+2x+=+24+\"$
\n" ); document.write( " $\"+x+=+12+\"$
\n" ); document.write( "The other pipe takes 12 hrs to fill the pool
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F8+%2B+1%2F12+=+5%2F24+\"$
\n" ); document.write( " $\"+3%2F24+%2B+2%2F24+=+5%2F24+\"$
\n" ); document.write( " $\"+5%2F24+=+5%2F24+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );