document.write( "Question 159472: The worker on machine A can complete a certain job in 6 hours. The worker on machine B can do the same job in 4 hours. In a rush situation, how long would it take both machinists to complete the job? \n" ); document.write( "

Algebra.Com's Answer #117586 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "(rate on A machine) + (rate on B machine) = rate on A & B machines together
\n" ); document.write( "Or, what is the sme thing,
\n" ); document.write( "(1 job / 6 hrs) + (1 job / 4 hrs) = 1 job / x hrs
\n" ); document.write( " $\"1+%2F+6+%2B+1+%2F+4+=+1+%2F+x\"$
\n" ); document.write( "Multiply both sides by $\"24x\"$
\n" ); document.write( " $\"4x+%2B+6x+=+24\"$
\n" ); document.write( " $\"10x+=+24\"$
\n" ); document.write( " $\"x+=+2.4\"$ hrs
\n" ); document.write( "check answer:
\n" ); document.write( " $\"1+%2F+6+%2B+1+%2F+4+=+1+%2F+2.4\"$
\n" ); document.write( "Multiply both sides by $\"2.4%2A24\"$
\n" ); document.write( " $\"+4%2A2.4+%2B+6%2A2.4+=+24\"$
\n" ); document.write( " $\"9.6+%2B+14.4+=+24\"$
\n" ); document.write( " $\"24+=+24\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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