document.write( "Question 187088: A contractor finds it takes Sam 11hours to construct a wall of certain size. It takes Jime 6hours to do it. How long would it take if the work together? \n" ); document.write( "
Algebra.Com's Answer #140234 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! A contractor finds it takes Sam 11hours to construct a wall of certain size. It takes Jime 6hours to do it. How long would it take if the work together? \n" ); document.write( "------------------- \n" ); document.write( "The \"trick\" to this type of problem is to find terms that can be added. \n" ); document.write( "Adding 11 and 6 is obviously not it. \n" ); document.write( "Sam takes 11 hrs to do a wall, so in 1 hour he does 1/11 of a wall. \n" ); document.write( "Jime does 1/6 of a wall per hour. \n" ); document.write( "Add 1/6 and 1/11 = 17/66 together. \n" ); document.write( "If they do 17/66 of a wall per hour, it will take 66/17 hours to do a wall. \n" ); document.write( "66/17 hours is it. \n" ); document.write( "--------------- \n" ); document.write( "There's a shortcut you can use, product/sum, for 2 workers. \n" ); document.write( "11*6/(11+6) = 66/17 \n" ); document.write( " \n" ); document.write( " |