document.write( "Question 130566: Tom can do a job in 3 hours, Dick in 4 hours, and Harry in 6 hours. If they do it together (and do not delay each other), how long does the job take? \n" ); document.write( "
Algebra.Com's Answer #95361 by ptaylor(2198)\"\" \"About 
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Let x=amount of time it take all three working together to do the job
\n" ); document.write( "Now we know that:
\n" ); document.write( "Tom works at the rate of 1/3 job per hour
\n" ); document.write( "Dick works at the rate of 1/4 job per hour
\n" ); document.write( "Harry works at the rate of 1/6 job per hour\r
\n" ); document.write( "\n" ); document.write( "Together they work at the rate of 1/3 +1/4 +1/6 job per hour or
\n" ); document.write( "8/24 + 6/24 +4/24=18/24=3/4 job per hr\r
\n" ); document.write( "\n" ); document.write( "Now our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "(3/4)*x=1 (1 job, that is) multiply both sides by 4
\n" ); document.write( "3x=4
\n" ); document.write( "x=1 1/3 hours ---amount of time it takes all three working together\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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