document.write( "Question 770917: A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B dad to leave and A alone completed the remaining work. The whole work was completed in_____. \n" ); document.write( "
Algebra.Com's Answer #469852 by josmiceli(19441)\"\" \"About 
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A's rate of working:
\n" ); document.write( "( 1 job ) / ( 15 days )
\n" ); document.write( "B's rate of working:
\n" ); document.write( "{ 1 job ) / ( 10 days )
\n" ); document.write( "-----------------
\n" ); document.write( "What fraction of the job did they get
\n" ); document.write( "done in 2 days? Let the fraction = \"k\"
\n" ); document.write( "\"+1%2F15+%2B+1%2F10+=+k%2F2+\"
\n" ); document.write( "Multiply both sides by \"+30+\"
\n" ); document.write( "\"+2+%2B+3+=+15k+\"
\n" ); document.write( "\"+k+=+5%2F15+\"
\n" ); document.write( "\"+k+=+1%2F3+\"
\n" ); document.write( "That means there is 2/3 of the job left to finish
\n" ); document.write( "---------------
\n" ); document.write( "A working alone:
\n" ); document.write( "Let \"+t+\" = time in days to finish job
\n" ); document.write( "\"+1%2F15+=+%28+2%2F3%29+%2F+t+\"
\n" ); document.write( "\"+t%2A%28+1%2F15+%29+=+2%2F3+\"
\n" ); document.write( "\"+t+=+15%2A%28+2%2F3+%29+\"
\n" ); document.write( "\"+t+=+10+\" days
\n" ); document.write( "---------------
\n" ); document.write( "The whole work was completed in \"+2+%2B+10+=+12+\" days\r
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