document.write( "Question 450599: Raul can plumb a house in 48 hours. Mira can do it in 36 hours. How long will it take them if they work together? I need total details and explanantion. Thank you! belle_g50@yahoo.com \n" ); document.write( "
Algebra.Com's Answer #309914 by rwm(914)![]() ![]() ![]() You can put this solution on YOUR website! Well good luck with that. \n" ); document.write( "What is an \"explanantion\" ? \n" ); document.write( "Do you mean \"explanation\"? \n" ); document.write( "We know the time has to be less than 36. Why?\r \n" ); document.write( "\n" ); document.write( "x/48+x/36=1 \n" ); document.write( "I could multiply by everything by 1728 which is 48*36 \n" ); document.write( "and get \n" ); document.write( "36x+48x=1728\r \n" ); document.write( "\n" ); document.write( "but there is an easier way. \n" ); document.write( "We factor 36 and 48 \n" ); document.write( "since both are multiples of 12 \n" ); document.write( "x/(4*12)+x/(3*12)=1 \n" ); document.write( "multiply by 12 \n" ); document.write( "x/4+x/3=12 \n" ); document.write( "multiply by 12 again \n" ); document.write( "3x+4x=144 \n" ); document.write( "7x=144 \n" ); document.write( "x=144/7 \n" ); document.write( "x=20.57 hrs \n" ); document.write( " \n" ); document.write( " |