document.write( "Question 110413: Tina and Cal can spray an orchard in 8 hours. Gina , working alone, would take 12 hours to do the job. How long would it take Cal working alone? \n" ); document.write( "

Algebra.Com's Answer #80470 by ptaylor(2198) $\"\"$ $\"About$

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Let x= amount of time it takes Cal working alone\r
\n" ); document.write( "\n" ); document.write( "Now we know that Gina sprays the orchard at the rate of 1/12 orchard per hour, right?\r
\n" ); document.write( "\n" ); document.write( "Both working together sprays the orchard at the rate of 1/8 orchard per hour\r
\n" ); document.write( "\n" ); document.write( "And we know that Cal sprays the orchard at 1/x orchard per hour. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "(1/12)+(1/x)=(1/8) multiply each term by 24x to get rid of fractions\r
\n" ); document.write( "\n" ); document.write( "2x+24=3x subtract 2x from both sides\r
\n" ); document.write( "\n" ); document.write( "2x-2x+24=3x-2x collect like terms\r
\n" ); document.write( "\n" ); document.write( "24=x or
\n" ); document.write( "x=24 hrs----------------------amount of time for Cal working alone\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "(1/12)+(1/24)=1/8
\n" ); document.write( "(2/24)+(1/24)=1/8\r
\n" ); document.write( "\n" ); document.write( "3/24=1/8
\n" ); document.write( "1/8=1/8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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