document.write( "Question 946294: It takes one worker 5 hours to do the same job that it takes another worker 3 hours to do. If they work together, in how many hours will the job be done? \n" ); document.write( "

Algebra.Com's Answer #577338 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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It takes one worker 5 hours to do the same job that it takes another worker 3 hours to do.
\n" ); document.write( " If they work together, in how many hours will the job be done?
\n" ); document.write( ":
\n" ); document.write( "let t = time required when working together
\n" ); document.write( "let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1
\n" ); document.write( " $\"t%2F5\"$ + $\"t%2F3\"$ = 1
\n" ); document.write( "Multiply the equation by the least common multiple of the denominators, namely: 15,
\n" ); document.write( "15* $\"t%2F5\"$ + 15* $\"t%2F3\"$ = 15
\n" ); document.write( " cancel the denominators, then you have:
\n" ); document.write( "3t + 5t = 15
\n" ); document.write( "8t = 15
\n" ); document.write( "t = 15/8
\n" ); document.write( "t = 1.875 hrs \n" ); document.write( "

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