document.write( "Question 143343: Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone it would have taken Daniel 9 hours. Find how long it would take Paul to do it alone? \n" ); document.write( "

Algebra.Com's Answer #104317 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "Let x=amount of time it would take Paul working alone
\n" ); document.write( "Paul works at the rate of 40/x bu per hour
\n" ); document.write( "Daniel works at the rate of 40/9 bu per hour
\n" ); document.write( "And together they work at the rate of 40/4.95 bu per hour\r
\n" ); document.write( "\n" ); document.write( "So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "40/x+40/9=40/4.95 multiply each term by 44.55x
\n" ); document.write( "40(44.55)+40(4.95)x=40(9)x simplify\r
\n" ); document.write( "\n" ); document.write( "1782+198x=360x subtract 198x from each side
\n" ); document.write( "1782+198x-198x=360x-198x collect like terms\r
\n" ); document.write( "\n" ); document.write( "1782=162x divide both sides by 162\r
\n" ); document.write( "\n" ); document.write( "x=11 hours--------------amount of time it would take Paul working alone\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "40/11+40/9=40/4.95
\n" ); document.write( "(3.63636----)+(4.44444----)=(8.080808----)
\n" ); document.write( "8.080808---=8.080808---\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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