document.write( "Question 655298: Mrs. Brown can clean her house in 3 hours. Her daughters can do the same job in 6 hours. How long will it take them to clean the house if they work together? \n" ); document.write( "
Algebra.Com's Answer #409048 by ash.ghadge(2)![]() ![]() ![]() You can put this solution on YOUR website! assume that they took 'x' days to clean the house together. \n" ); document.write( "as Mrs. brawn cleans in 3 hours. in 1 hour she cleans 1/3rd part of the house. \n" ); document.write( "hence in 'x' hours she cleans x/3 rd part of the house \n" ); document.write( "similarly her daughter cleans the house in 6 hours. in 1 hour she cleans 1/6th part of the house. \n" ); document.write( "it means in 'x' hours she cleans x/6th part of the house.\r \n" ); document.write( "\n" ); document.write( "both of them paints '1' house is 'x' hours.\r \n" ); document.write( "\n" ); document.write( "hence equation becomes: \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides by 3 \n" ); document.write( " x = 2 \n" ); document.write( "Mrs. Brawn and her daughter can clean the house in 2 hours working together. \n" ); document.write( " |