document.write( "Question 551352: A Painter can do a given job in 6hours. Her helper can do the same job in 10 hours. The painter begins the work and after two hours is joined by the helper. In how many hours will the complete the job? Please, thank you~ Happy New Year to you, Great Tutors! <3 \n" ); document.write( "
Algebra.Com's Answer #359664 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Painter can do the job in 6hours\r \n" ); document.write( "\n" ); document.write( "he does 1/6 of the job in 1 hour\r \n" ); document.write( "\n" ); document.write( "he works for 2 hours\r \n" ); document.write( "\n" ); document.write( "so he completes 2/6 of the job = 1/3 \r \n" ); document.write( "\n" ); document.write( "balance job = 1-1/3 = 2/3\r \n" ); document.write( "\n" ); document.write( "Helper does the job in 10 hours \n" ); document.write( "so he does 1/10 of the job in 1 hour.\r \n" ); document.write( "\n" ); document.write( "Together they can do 1/6 + 1/10 of the job in 1 hour \n" ); document.write( "=8/30 ==> 4/15 of the job in 1 hour\r \n" ); document.write( "\n" ); document.write( " 4/15 of the job they do in 1 hour \n" ); document.write( "2/3 of the job they will do in (2/3) /(4/15) \n" ); document.write( "=2/3 * 15/4 \n" ); document.write( "=30/12 \n" ); document.write( "=2.5 hours \n" ); document.write( "Balance job they complete in 2 1/2 hours\r \n" ); document.write( "\n" ); document.write( "Happy New Year \n" ); document.write( " |