document.write( "Question 641053: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint together? Hi I know the answer , but I dont know how to do it. Please elaborate. Thanks, Nelida. \n" ); document.write( "
Algebra.Com's Answer #403581 by lwsshak3(11628) ![]() You can put this solution on YOUR website! If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint together? Hi I know the answer , but I dont know how to do it. Please elaborate. \n" ); document.write( "** \n" ); document.write( "Sally can alone paint a house in 4 hrs, \n" ); document.write( "her work rate=1/4 house per hr \n" ); document.write( ".. \n" ); document.write( "John can alone paint a house in 6 hrs, \n" ); document.write( "his work rate=1/6 house per hr \n" ); document.write( ".. \n" ); document.write( "Working together Sally and John can paint the house in x hours \n" ); document.write( "Their work rate working together=1/x \n" ); document.write( ".. \n" ); document.write( "sum of individual work rates=work rate working together \n" ); document.write( "1/4+1/6=1/x \n" ); document.write( "3/12+2/12=1/x \n" ); document.write( "5/12=1/x \n" ); document.write( "x=12/5=2.4 \n" ); document.write( "Working together Sally and John can paint the house in 2.4 hours\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |