document.write( "Question 745478: A,B and C do a piece of work in 10 days. A and B can do it in 12 days. A and C in 20 days. How many days would it take each to do the work alone? \n" ); document.write( "

Algebra.Com's Answer #453892 by savvyhush23(50) $\"\"$ $\"About$

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A,B and C do a piece of work in 10 days. A and B can do it in 12 days. A and C in 20 days. How many days would it take each to do the work alone?\r
\n" ); document.write( "\n" ); document.write( "Let x,y and z be the rate,\r
\n" ); document.write( "\n" ); document.write( "A,B and C do a piece of work in ... $\"x%2By%2Bz=1%2F10\"$
\n" ); document.write( "A and B can do it in 12 days... $\"x%2By=1%2F12\"$
\n" ); document.write( "A and C in 20 days... $\"x%2Bz=1%2F20\"$
\n" ); document.write( "Solving simultaneous equation yields,
\n" ); document.write( " $\"x=1%2F30\"$ , $\"y=1%2F20\"$ , $\"z=1%2F60\"$
\n" ); document.write( "How many days would it take each to do the work alone?
\n" ); document.write( " $\"Time=Work%2FRate\"$
\n" ); document.write( " $\"A=1%2Fx=30+days\"$
\n" ); document.write( " $\"B=1%2Fy=20+days\"$
\n" ); document.write( " $\"C=1%2Fz=60+days\"$ \r
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