document.write( "Question 528128: Jason La Rue can shampoo the carpet on the main floor of the Sheraton Hotel in 3 hours. Tom Lockheart can shampoo the same carpet in 6 hours. If they work together, how long will it take them to shampoo the carpet? \n" ); document.write( "
Algebra.Com's Answer #349146 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Jason La Rue can shampoo the carpet on the main floor of the Sheraton Hotel in 3 hours. Tom Lockheart can shampoo the same carpet in 6 hours. If they work together, how long will it take them to shampoo the carpet?
\n" ); document.write( "Let x = time (hours) it takes for both
\n" ); document.write( "then
\n" ); document.write( "x(1/3 + 1/6) = 1
\n" ); document.write( "multiplying both sides by 6:
\n" ); document.write( "x(2 + 1) = 6
\n" ); document.write( "x(3) = 6
\n" ); document.write( "x = 6/3
\n" ); document.write( "x = 2 hours
\n" ); document.write( "
\n" );