document.write( "Question 1064559: Machine A can do a certain job in 8 hours. machine B can do the same job in 10 hours. machine C can do the same job in 12 hours. all three machines start the job at 9.00 am, machine B breaks down at 11.00am and the other two machines finish the job. approximately at what time would the job be completed? \n" ); document.write( "
Algebra.Com's Answer #679627 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Machine A can do a certain job in 8 hours. machine B can do the same job in 10 hours. machine C can do the same job in 12 hours. all three machines start the job at 9.00 am, machine B breaks down at 11.00am and the other two machines finish the job. approximately at what time would the job be completed? \n" ); document.write( "--------------------- \n" ); document.write( "A time = 8 hrs/job ; A rate = 1/8 job/hr \n" ); document.write( "B time = 10 hrs/job ; B rate = 1/10 job/hr \n" ); document.write( "C time = 12 hrs/job ; C rate = 1/12 job/hr \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "Let x be the hours to do the job:: \n" ); document.write( "work + work + work = 1 job \n" ); document.write( "(1/8)x + 2(1/10) + (1/12)x = 1 job \n" ); document.write( "----------- \n" ); document.write( "Multiply thru by 120 to get: \n" ); document.write( "15x + 24 + 10x = 120 \n" ); document.write( "25x = 96 \n" ); document.write( "x = 3.84 hrs = 3hrs 50 min 24 seconds \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |