document.write( "Question 1034413: solve. Round to the nearest tenth of necessary\r
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\n" ); document.write( "\n" ); document.write( "Mr. Jansen can shingle a roof in 10hrs, and Mr. Doyle can do it in 8 hrs. Mr. Davies has never done the job alone; but last time he helped with a similar job, it took the three men 3 1/3 hrs working together. How long would it take Mr. Davies alone?
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Algebra.Com's Answer #649115 by josmiceli(19441)\"\" \"About 
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Add their rates of working to get
\n" ); document.write( "their rate working together
\n" ); document.write( "Mr. Jansen's rate:
\n" ); document.write( "[ 1 roof ] / [ 10 hrs ]
\n" ); document.write( "Mr. Doyle's rate:
\n" ); document.write( "[ 1 roof ] / [ 8 hrs ]
\n" ); document.write( "The 3 men working together:
\n" ); document.write( "[ 1 roof ] / [ 3.5 hrs ]
\n" ); document.write( "----------------------------
\n" ); document.write( "Let \"+t+\" time in hrs for Mr. Davies to
\n" ); document.write( "shingle the roof working alone
\n" ); document.write( "\"+1%2F10+%2B+1%2F8+%2B+1%2Ft+=+1%2F3.5+\"
\n" ); document.write( "\"+1%2F10+%2B+1%2F8+%2B+1%2Ft+=+2%2F7+\"
\n" ); document.write( "Multiply both sides by \"+7%2A8%2A10t+\"
\n" ); document.write( "\"+56t+%2B+70t+%2B+560+=+2%2A80t+\"
\n" ); document.write( "\"+126t+%2B+560+=+160t+\"
\n" ); document.write( "\"+34t+=+560+\"
\n" ); document.write( "\"+t+=+16.4706+\" hrs
\n" ); document.write( "and
\n" ); document.write( "\"+.4706%2A60+=+28.2353+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Working alone, Mr Davies takes 16 hrs 28 min
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F10+%2B+1%2F8+%2B+1%2F16.4706+=+1%2F3.5+\"
\n" ); document.write( "\"+.1+%2B+.125+%2B++.06071+=+.28571+\"
\n" ); document.write( "\"+.225+%2B+.06071+=+.28571+\"
\n" ); document.write( "\"+.28571+=+.28571+\"
\n" ); document.write( "OK
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