document.write( "Question 260741: Working alone, Andy can rake the leaves in his yard in 3 hours. His sister Emma, working alone,can rake the leaves in 4 and a half hours. If they work together,to the nearest minute, how quickly can they rake the leaves? \n" ); document.write( "
Algebra.Com's Answer #192071 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Working alone, Andy can rake the leaves in his yard in 3 hours. His sister Emma, working alone,can rake the leaves in 4 and a half hours. If they work together,to the nearest minute, how quickly can they rake the leaves? \n" ); document.write( "------------ \n" ); document.write( "The hard way: \n" ); document.write( "Andy does 1/3 of the yard per hour. \n" ); document.write( "Emma does 1/4 of the yard per hour. \n" ); document.write( "Together, they do 1/3 + 1/4 = 7/12 per hour. \n" ); document.write( "--> 12/7 hours to do the yard. \n" ); document.write( "= 720/7 minutes = 103 minutes. \n" ); document.write( "----------------------------- \n" ); document.write( "The easy way, product/sum \n" ); document.write( "3*4/(3+4) = 12/7 hours \n" ); document.write( " \n" ); document.write( " |