document.write( "Question 663495: Miguel works 3 times faster than Steven. Together they do a job in 9 hours. ow long does it take Steven working alone to do the same job? \n" ); document.write( "

Algebra.Com's Answer #412972 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Miguel works 3 times faster than Steven.
\n" ); document.write( " Together they do a job in 9 hours.
\n" ); document.write( " How long does it take Steven working alone to do the same job?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required by M to do the job
\n" ); document.write( "then
\n" ); document.write( "3t = time required by S
\n" ); document.write( ":
\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( " $\"9%2F%28%283t%29%29\"$ + $\"9%2Ft\"$ = 1
\n" ); document.write( "multiply by 3t, results:
\n" ); document.write( "9 + 3(9) = 3t
\n" ); document.write( "9 + 27 = 3t
\n" ); document.write( "36 = 3t
\n" ); document.write( " t = 36/3
\n" ); document.write( " t = 12 hrs for M to do the job
\n" ); document.write( "but they want how long it took S:
\n" ); document.write( "3(12) = 36 hrs for S to do it
\n" ); document.write( ":
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