document.write( "Question 1198432: Laundry can be completed in 3 hours if Fyona and Emmanuelle work together. How long will it take Fyona and Emmanuelle washing seperately if Fyona can do the task in half the time it would take Emmanuelle washing alone? \n" ); document.write( "
Algebra.Com's Answer #832040 by ankor@dixie-net.com(22740)\"\" \"About 
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Laundry can be completed in 3 hours if Fyona and Emmanuelle work together.
\n" ); document.write( " How long will it take Fyona and Emmanuelle washing separately if Fyona can do the task in half the time it would take Emmanuelle washing alone?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required by F to do the job alone
\n" ); document.write( "\"Fyona can do the task in half the time it would take Emmanuelle washing alone?
\n" ); document.write( "therefore
\n" ); document.write( "2t = time required by E to do the job
\n" ); document.write( ":
\n" ); document.write( "Write a shared work equation, each will do a fraction of the job.
\n" ); document.write( "The two fractions add up to 1
\n" ); document.write( "\"3%2Ft+%2B+3%2F%282t%29+=+1\"
\n" ); document.write( "multiply equation by 2t, cancel the denominators
\n" ); document.write( "2(3) + 3 = 2t
\n" ); document.write( "6 + 3 = 2t
\n" ); document.write( "2t = 9
\n" ); document.write( "t = 9/2
\n" ); document.write( "t = 4.5 hrs, F working alone
\n" ); document.write( "then obviously,
\n" ); document.write( "2(4.5) = 9 hrs E working alone
\n" ); document.write( ":
\n" ); document.write( "You can substitute these two values in the shared work equation to cofirm this\r
\n" ); document.write( "\n" ); document.write( ": \n" ); document.write( "
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