document.write( "Question 392445: It takes Louis 3 hours to paint a room by himself. If Anthony helps it takes them 2 hours. How long would it take Anthony to paint the room himself? \n" ); document.write( "
| Algebra.Com's Answer #280491 by lwsshak3(11628)      You can put this solution on YOUR website! It takes Louis 3 hours to paint a room by himself. If Anthony helps it takes them 2 hours. How long would it take Anthony to paint the room himself?\r \n" ); document.write( "\n" ); document.write( "let x = hours it would take for anthony to paint the room by himself \n" ); document.write( "then, his hourly rate =1/x \n" ); document.write( "Louis takes 3 hours to do the job himself, so, his hourly rate =1/3 \n" ); document.write( "When working together they would take 2 hours to finish the job, so, their hourly rate would be = 1/2\r \n" ); document.write( "\n" ); document.write( "1/3+1/x=1/2 \n" ); document.write( "1/x=1/2-1/3=1/6 \n" ); document.write( "x=6\r \n" ); document.write( "\n" ); document.write( "ans: It would take anthony 6 hours to paint the room by himself \n" ); document.write( " |