document.write( "Question 331679: Simone can assemble a radio in 4 hours, and Sheila can assemble the same model radio in 7 hours. How long would it take them to assemble one radio if they worked together? \n" ); document.write( "
Algebra.Com's Answer #237774 by nerdybill(7384)\"\" \"About 
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Simone can assemble a radio in 4 hours, and Sheila can assemble the same model radio in 7 hours. How long would it take them to assemble one radio if they worked together?
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\n" ); document.write( "Let x = time it takes for them to work together
\n" ); document.write( "then
\n" ); document.write( "x(1/4 + 1/7) = 1
\n" ); document.write( "multiplying both sides by 28:
\n" ); document.write( "x(7 + 4) = 28
\n" ); document.write( "11x = 28
\n" ); document.write( "x = 28/11
\n" ); document.write( "x = 2.55 hours
\n" ); document.write( "or
\n" ); document.write( "x = 2 hours and 33 minutes
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