document.write( "Question 19150: Joe digs a ditch in 3.2 hours.
\n" ); document.write( "Joe working with George can did the same length ditch in 2.7 hours.
\n" ); document.write( "How long would it take George to dig the ditch by himself.
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Algebra.Com's Answer #9228 by venugopalramana(3286)\"\" \"About 
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Joe digs a ditch in 3.2 hours.
\n" ); document.write( "Joe working with George can did the same length ditch in 2.7 hours.
\n" ); document.write( "How long would it take George to dig the ditch by himself.\r
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\n" ); document.write( "\n" ); document.write( "Joe digs a ditch in 3.2 hours...so in 1 hour he digs 1/3.2 ditch=10/32=5/16
\n" ); document.write( "let george alone take x hrs to dig the ditch...so in 1 hour he digs 1/x ditch
\n" ); document.write( "so in 1 hour joe and george together dig 5/16+1/x ditch =(5x+16)/16x
\n" ); document.write( "so they take 16x/(5x+16) hrs to dig the ditch together
\n" ); document.write( "but this given as 2.7 hours
\n" ); document.write( "so 16x/(5x+16)=2.7
\n" ); document.write( "cross multiplying we get
\n" ); document.write( "16x=2.7(5x+16)=13.5x+43.2
\n" ); document.write( "16x-13.5x=43.2
\n" ); document.write( "2.5x=43.2
\n" ); document.write( "x=43.2/2.5=432/25=17.28 hours
\n" ); document.write( "so george alone takes 17.28 hrs to dig the ditch\r
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