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)\"\" \"About 
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
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