document.write( "Question 1045439: working alone,photography machine C requires 40 minutes to complete an 800 page job.working together machines B and C require 25 mins for the same 800 page job.with machines A,B and C working together, the job takes 10 minutes. how long does it take machine A to complete the Job working alone? \n" ); document.write( "

Algebra.Com's Answer #660872 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+r%5BA%5D+\"$ = the rate of working for
\n" ); document.write( "machine A in pages/min
\n" ); document.write( "Let $\"+r%5BB%5D+\"$ = the rate of working for
\n" ); document.write( "machine B in pages/min
\n" ); document.write( "Let $\"+r%5BC%5D+\"$ = the rate of working for
\n" ); document.write( "machine C in pages/min
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+r%5BC%5D+=+800%2F40+\"$
\n" ); document.write( "(1) $\"+r%5BC%5D+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+r%5BB%5D+%2B+r%5BC%5D+=+800%2F25+\"$
\n" ); document.write( "(2) $\"+r%5BB%5D+%2B+r%5BC%5D+=+32+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+r%5BA%5D+%2B+r%5BB%5D+%2B+r%5BC%5D+=+800%2F10+\"$
\n" ); document.write( "(3) $\"+r%5BA%5D+%2B+r%5BB%5D+%2B+r%5BC%5D+=+80+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+r%5BB%5D+%2B+r%5BC%5D+=+32+\"$
\n" ); document.write( "(2) $\"+r%5BB%5D+%2B+20+=+32+\"$
\n" ); document.write( "(2) $\"+r%5BB%5D+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+r%5BA%5D+%2B+r%5BB%5D+%2B+r%5BC%5D+=+80+\"$
\n" ); document.write( "(3) $\"+r%5BA%5D+%2B+12+%2B+20+=+80+\"$
\n" ); document.write( "(3) $\"+r%5BA%5D+=+48+\"$
\n" ); document.write( "--------------------------------
\n" ); document.write( "The rate of working of macine A is $\"+48+\"$ pages/min
\n" ); document.write( "Let $\"+t+\"$ = time in min for A to finish $\"+800+\"$ pages
\n" ); document.write( " $\"+48%2F1+=+800%2Ft+\"$
\n" ); document.write( " $\"+t+=+800%2F48+\"$
\n" ); document.write( " $\"+t+=+16+%2B+2%2F3+\"$
\n" ); document.write( "convert $\"+2%2F3+\"$ min to sec
\n" ); document.write( " $\"+%282%2F3%29%2A60+=+40+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Machine A takes 16 min 40 sec to do 800 page job
\n" ); document.write( "--------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(3) $\"+r%5BA%5D+%2B+r%5BB%5D+%2B+r%5BC%5D+=+80+\"$
\n" ); document.write( "(3) $\"+800%2F16.667+%2B+12+%2B+20+=+80+\"$
\n" ); document.write( "(3) $\"+48+%2B+12+%2B+20+=+80+\"$
\n" ); document.write( "(3) $\"+80+=+80+\"$
\n" ); document.write( "Hope I got it! \n" ); document.write( "

\n" );