document.write( "Question 1062647: A can do as much work in 5 days as B can do in 6 days.If both of them work together can do the work in 12 days,in how many days can each of them complete the work alone? \n" ); document.write( "

Algebra.Com's Answer #677628 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+R%5Ba%5D+\"$ = A's rate of working
\n" ); document.write( "Let $\"+R%5Bb%5D+\"$ = B's rate of working
\n" ); document.write( " $\"+R%5Ba%5D+%2F+R%5Bb%5D+=+6%2F5+\"$ ( A works faster than B )
\n" ); document.write( " $\"+5R%5Ba%5D+=+6R%5Bb%5D+\"$
\n" ); document.write( " $\"+R%5Bb%5D+=+%28+5%2F6+%29%2AR%5Ba%5D+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Working together, their rate is $\"+1%2F12+\"$
\n" ); document.write( "which is [ 1 job done ] / [ 12 days ]
\n" ); document.write( " $\"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F12+\"$
\n" ); document.write( " $\"+R%5Ba%5D+%2B+%285%2F6%29%2AR%5Ba%5D+=+1%2F12+\"$
\n" ); document.write( " $\"+R%5Ba%5D+=+%28+6%2F11+%29%2A%28+1%2F12+%29+\"$
\n" ); document.write( " $\"+R%5Ba%5D+=+1%2F22+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+R%5Bb%5D+=+%28+5%2F6+%29%2AR%5Ba%5D+\"$
\n" ); document.write( " $\"+R%5Bb%5D+=+%28+5%2F6+%29%2A%281%2F22%29+\"$
\n" ); document.write( " $\"+R%5Bb%5D+=+5%2F132+\"$
\n" ); document.write( " $\"+R%5Bb%5D+=+1%2F26.4+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "A can do the job in 22 days
\n" ); document.write( "B can do the job in 26.4 days
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F22+%2B+1%2F26.4+=+1%2F12+\"$
\n" ); document.write( " $\"+.04545+%2B+.037878+=+.08333+\"$
\n" ); document.write( " $\"+.083328+=+.08333+\"$
\n" ); document.write( "close enough
\n" ); document.write( "Get another opinion, too, if needed
\n" ); document.write( " \n" ); document.write( "

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