document.write( "Question 982513: Bea and Yan can do a certain job in 3 hours. On a given day, they worked together for 1 hour then Yan left and Bea finishes the rest of the work in 8 more hours. How long will it take for Bea to do the job alone? \n" ); document.write( "

Algebra.Com's Answer #603333 by josmiceli(19441) $\"\"$ $\"About$

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What fraction of the job can they do
\n" ); document.write( "working together for 1 hr?
\n" ); document.write( "Let $\"+x+\"$ = that fraction
\n" ); document.write( "Their rate working together is:
\n" ); document.write( "[ 1 job ] / [ 3 hrs ]
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+1%2F3+=+x%2F1+\"$
\n" ); document.write( " $\"+x+=+1%2F3+\"$
\n" ); document.write( "That means there is $\"+1+-+1%2F3+=+2%2F3+\"$ of the
\n" ); document.write( "job left to do after $\"+1+\"$ hr
\n" ); document.write( "---------------------------------
\n" ); document.write( "Let $\"+r+\"$ = Bea's rate of working in jobs/hr
\n" ); document.write( " $\"+r+=+%28+2%2F3+%29+%2F+8+\"$
\n" ); document.write( " $\"+r+=+2%2F24+\"$
\n" ); document.write( " $\"+r+=+1%2F12+\"$
\n" ); document.write( "This says that Bea can finish 1 job in 12 hrs working alone
\n" ); document.write( "check:
\n" ); document.write( " $\"+r+=+%28+2%2F3+%29+%2F+8+\"$
\n" ); document.write( " $\"+1%2F12+=+%28+2%2F3+%29+%2F+8+\"$
\n" ); document.write( " $\"+8%2F12+=+2%2F3+\"$
\n" ); document.write( " $\"+2%2F3+=+2%2F3+\"$
\n" ); document.write( "OK \n" ); document.write( "

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