document.write( "Question 129665: Two workers can do a job in 33/7 hours.THe first one can do the same job in 6 hours. How much time will it take for the second one to complete the job if he works alone ?\r
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document.write( "PLZZZ !! DO HELP ME ! I hv an exam tomorrow abd i dont understand this ! If someone helps me than god bless him !! PLZ \n" );
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Algebra.Com's Answer #94687 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x= amount of time required for the second worker to complete the job if he works alone \n" ); document.write( "The two workers work at the rate of 1/(33/7) of the job per hour. This reduces to 7/33 of the job per hr (As you can see 7/33 of the job per hour times 33/7 hours = one job completed)\r \n" ); document.write( "\n" ); document.write( "The first worker works at the rate of 1/6 of the job per hour.(Again, as you can see 1/6 of the job per hour times 6 hours = 1 job completed). (R U getting the idea??)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now he second worker does 7/33-1/6 of the job per hour. This reduces to:\r \n" ); document.write( "\n" ); document.write( "14/66-11/66 or 3/66 of the job per hour and this reduces to 1/22 of the job per hour.\r \n" ); document.write( "\n" ); document.write( "Now our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(1/22)*x=1 (job completed) Multiply both sides by 22/1\r \n" ); document.write( "\n" ); document.write( "x=22 hrs\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "First worker works at the rate of 1/6 job per hr \n" ); document.write( "Second worker works at the rate of 1/22 job per hr.\r \n" ); document.write( "\n" ); document.write( "1/6+1/22=11/66+3/66=14/66 of the job per hr and this reduces to \n" ); document.write( "7/33 of the job per hr\r \n" ); document.write( "\n" ); document.write( "(7/33)*33/7=1 \n" ); document.write( "1=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |