document.write( "Question 196608: Q. Bill and James can do together a piece of work in 30 days. James alone can finish the work in 60 days, both began the work together but Bill left 3 days before the completion of the work. how long will it take to finish the work.? \n" ); document.write( "

Algebra.Com's Answer #147358 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Q. Bill and James can do together a piece of work in 30 days.
\n" ); document.write( " James alone can finish the work in 60 days, both began the work together
\n" ); document.write( " but Bill left 3 days before the completion of the work.
\n" ); document.write( "how long will it take to finish the work.?
\n" ); document.write( ":
\n" ); document.write( "Since working together it takes 30 days, and working alone J can do half of it
\n" ); document.write( "30/60 in 30 day; then B's time alone is 60 days also
\n" ); document.write( ":
\n" ); document.write( "Let t = time required to finish the job
\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( "A simple equation
\n" ); document.write( "Bill's time + J's time = the completed job
\n" ); document.write( " $\"%28t-3%29%2F60\"$ + $\"t%2F60\"$ = 1
\n" ); document.write( "Multiply eq by 60
\n" ); document.write( "(t-3) + t = 60
\n" ); document.write( ":
\n" ); document.write( "2t - 3 = 60
\n" ); document.write( ":
\n" ); document.write( "2t = 63
\n" ); document.write( ":
\n" ); document.write( "t = $\"63%2F2\"$
\n" ); document.write( "t = 31.5 days to do the job
\n" ); document.write( " \n" ); document.write( "

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