document.write( "Question 227580: A supervisor can assemble 1000 toys in 4 days. A new employee takes 7 days to do the same job. How long will it take if they work together? \n" ); document.write( "
Algebra.Com's Answer #169065 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
A supervisor can assemble 1000 toys in 4 days. A new employee takes 7 days to do the same job. How long will it take if they work together?
\n" ); document.write( "--------
\n" ); document.write( "S does 1000/4 toys per day
\n" ); document.write( "E does 1000/7 toys per day
\n" ); document.write( "Together, 1000/4 + 1000/7 per day
\n" ); document.write( "1000/4 + 1000/7 = 7000/28 + 4000/28 = 11000/28 per day
\n" ); document.write( "---> 28/11000 days per toy
\n" ); document.write( "= 28/11 days per 1000 toys
\n" ); document.write( "= ~ 2.545 days per 1000 toys
\n" ); document.write( "------------
\n" ); document.write( "The shortcut is product/sum
\n" ); document.write( "= 4*7/(4+7)
\n" ); document.write( "= 28/11
\n" ); document.write( "
\n" ); document.write( "
\n" );