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 #80467 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
First I have to assume that Tina and Gina are the same person, otherwise this problem has no unique solution, and I'm going to call her Tina.
\n" ); document.write( ":
\n" ); document.write( "Tina working alone could spray the orchard in 12 hours, so that means that Tina can spray $\"1%2F12\"$ orchards per hour.
\n" ); document.write( ":
\n" ); document.write( "Tina and Cal, therefore, spray $\"1%2F8\"$ orchards per hour together.
\n" ); document.write( ":
\n" ); document.write( "And finally, Cal can spray $\"1%2Fx\"$ orchards per hour by himself.
\n" ); document.write( ":
\n" ); document.write( " $\"1%2F12%2B1%2Fx=1%2F8\"$
\n" ); document.write( ":
\n" ); document.write( "The lowest common denominator for these three fractions is 24x, so:
\n" ); document.write( ":
\n" ); document.write( " $\"2x%2F24x%2B24%2F24x=3x%2F24x\"$
\n" ); document.write( " $\"2x-3x=-24\"$
\n" ); document.write( " $\"x=24\"$
\n" ); document.write( ":
\n" ); document.write( "So Cal would take 24 hours to do the job by himself.
\n" ); document.write( " \n" ); document.write( "

\n" );