document.write( "Question 155072: pipe a takes 8 hours to empty out a pool. when added with pipe b it takes only 3 hourse. how long would pipe b take to empty out the pool? \n" ); document.write( "

Algebra.Com's Answer #114165 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let x=amount of time it takes pipe B to empty out the pool
\n" ); document.write( "Then pipe B empties the pool at the rate of 1/x pool per hour
\n" ); document.write( "And pipe A empties the pool at the rate of 1/8 pool per hour
\n" ); document.write( "Together they empty the pool at the rate of (1/x + 1/8) pool per hour and we are told that, together, they empty the pool at the rate of 1/3 pool per hour\r
\n" ); document.write( "\n" ); document.write( "So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "1/x + 1/8=1/3 multiply each term by 24x\r
\n" ); document.write( "\n" ); document.write( "24+3x=8x subtract 3x from each side
\n" ); document.write( "24+3x-3x=8x-3x
\n" ); document.write( "5x=24 divide each side by 5
\n" ); document.write( "x=4 4/5 hours------------------amount of time it takes pipe B to empty the pool\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(1/4.8) +1/8 = 1/3
\n" ); document.write( "5/24+3/24=1/3
\n" ); document.write( "8/24=1/3
\n" ); document.write( "1/3=1/3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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