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Ashraf and Bahar together can do a piece of work in 12 days, which Bahar and Charles together can do in 16 days . After Ashraf has been working at it 5 days and Bahar for 7 days Charles finishes in 11 days .In how many days Charles will do the work?
\n" ); document.write( "**
\n" ); document.write( "let a=days Ashraf can do the job alone
\n" ); document.write( "1/a=His work rate
\n" ); document.write( "..
\n" ); document.write( "let b=days Bahar can do the job alone
\n" ); document.write( "1/b=His work rate
\n" ); document.write( "..
\n" ); document.write( "let c=days Charles can do the job alone
\n" ); document.write( "1/c=His work rate
\n" ); document.write( "..
\n" ); document.write( "Sum of individual work rates= work rate working together
\n" ); document.write( "1) 1/a+1/b=1/12
\n" ); document.write( "2) 1/c+1/b=1/16
\n" ); document.write( "working separately to complete the job:
\n" ); document.write( "3) 5/a+7/b+11/c=1
\n" ); document.write( "..
\n" ); document.write( "multiply eq1 by 7
\n" ); document.write( "4) 7/a+7/b=7/12
\n" ); document.write( "3) 5/a+7/b+11/c=1
\n" ); document.write( "subtract
\n" ); document.write( "5) 2/a-11/c=-5/12
\n" ); document.write( "..
\n" ); document.write( "multiply eq2 by 7
\n" ); document.write( "6) 7/c+7/b=7/16
\n" ); document.write( "3) 5/a+7/b+11/c=1
\n" ); document.write( "subtract
\n" ); document.write( "7) -5/a-4/c=-9/16
\n" ); document.write( "..
\n" ); document.write( "multiply eq5 by 5
\n" ); document.write( "8) 10/a-55c=-25/12=-100/48
\n" ); document.write( "multiply eq7 by 2
\n" ); document.write( "9) -10/a-8/c=-18/16=-54/48
\n" ); document.write( "add eq8 and eq9
\n" ); document.write( "-63/c=-154/48
\n" ); document.write( "c=63*48/154=19.64 days (rounded)
\n" ); document.write( "..
\n" ); document.write( "ans:
\n" ); document.write( "Charles would take 19.64 days to complete the job working alone \n" ); document.write( "