document.write( "Question 1111104: Danny and Rennan can do a piece of work in 6 days. How long will it take each of them to finish the work alone, if Danny can work 3/2 as fast as Rennan. \n" ); document.write( "
Algebra.Com's Answer #726109 by josmiceli(19441)\"\" \"About 
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Let \"+R+\" = Rennan's rate of working
\n" ); document.write( "\"+%283%2F2%29%2AR+\" = Danny's rate of working
\n" ); document.write( "\"+1%2F6+\" = their rate working together
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Add their individual ratyes to get their rate
\n" ); document.write( "working together
\n" ); document.write( "\"+R+%2B+%283%2F2%29%2AR+=+1%2F6+\"
\n" ); document.write( "Multiply both sides by \"+2+\"
\n" ); document.write( "\"+2R+%2B+3R+=+1%2F3+\"
\n" ); document.write( "\"+5R+=+1%2F3+\"
\n" ); document.write( "\"+R+=+1%2F15+\"
\n" ); document.write( "and
\n" ); document.write( "\"+%283%2F2%29%2AR+=+%283%2F2%29%2A%281%2F15%29+\"
\n" ); document.write( "\"+%283%2F2%29%2AR+=+1%2F10+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "Rennan takes 15 days working alone
\n" ); document.write( "Danny takes 10 days working alone
\n" ); document.write( "---------------------------------------
\n" ); document.write( "chck:
\n" ); document.write( "\"+R+%2B+%283%2F2%29%2AR+=+1%2F6+\"
\n" ); document.write( "\"+1%2F15+%2B+1%2F10+=+1%2F6+\"
\n" ); document.write( "\"+2%2F30+%2B+3%2F30+=+5%2F30+\"
\n" ); document.write( "\"+5%2F30+=+5%2F30+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );