document.write( "Question 475992: x and y persons can do same job in 4 and 6 hours respectively,how long does it take for x and y persons to the the same job together? \n" ); document.write( "

Algebra.Com's Answer #326428 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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x and y persons can do same job in 4 and 6 hours respectively,
\n" ); document.write( "how long does it take for x and y persons to the the same job together?
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\n" ); document.write( "Let t = time required when working together
\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "Each will do a fraction of the job. The two fractions add up to 1, a completed job.
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\n" ); document.write( " $\"t%2F4\"$ + $\"t%2F6\"$ = 1
\n" ); document.write( "multiply by 12, to get rid of the denominators, results
\n" ); document.write( "3t + 2t = 12
\n" ); document.write( "5t = 12
\n" ); document.write( "t = $\"12%2F5\"$
\n" ); document.write( "t = 2.4 hrs
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\n" ); document.write( "Check this:
\n" ); document.write( "2.4/4 + 2.4/8 = 1 \n" ); document.write( "

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