document.write( "Question 880578: If M,K,L can do a work in 4, 6 , and 8 hours; if they work simultaneously then what fraction of work is done by the M? \n" ); document.write( "

Algebra.Com's Answer #531592 by josmiceli(19441) $\"\"$ $\"About$

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M does ( 1 job ) / ( 4 hrs )
\n" ); document.write( "K does ( 1 job ) / ( 6 hrs )
\n" ); document.write( "L does ( 1 job ) / ( 8 hrs )
\n" ); document.write( "-----------------------------
\n" ); document.write( "Add their rates of working to
\n" ); document.write( "get their rate working together
\n" ); document.write( " $\"+1%2F4+%2B+1%2F6+%2B+1%2F8+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+24t+\"$
\n" ); document.write( " $\"+6t+%2B+4t+%2B+3t+=+24+\"$
\n" ); document.write( " $\"+13t+=+24+\"$
\n" ); document.write( " $\"+t+=+24%2F13+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Together, they take $\"+24%2F13+\"$ hr
\n" ); document.write( "to do 1 job
\n" ); document.write( " $\"+%281%2F4%29%2A%28+24%2F13+%29+=+6%2F13+\"$
\n" ); document.write( "For K:
\n" ); document.write( " $\"+%281%2F6%29%2A%28+24%2F13+%29+=+4%2F13+\"$
\n" ); document.write( "For L:
\n" ); document.write( " $\"+%281%2F8%29%2A%28+24%2F13+%29+=+3%2F13+\"$
\n" ); document.write( "M does 6/13 of the work
\n" ); document.write( "check:
\n" ); document.write( " $\"+6%2F13+%2B+4%2F13+%2B+3%2F13+=+13%2F13+\"$
\n" ); document.write( "OK\r
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