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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |