document.write( "Question 91870This question is from textbook algebra and trigonometry
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document.write( ": One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together? PLEASE HELP \n" );
document.write( "
Algebra.Com's Answer #66733 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One person can do a job in 8 hours. A second person can do it in 12 hours. If the first person works 2 hours less than the second, how many hours will it take them working together? \n" ); document.write( "---------------- \n" ); document.write( "One person DATA; \n" ); document.write( "Time = 8 hr/job ; Rate = 1/8 job/hr \n" ); document.write( "------------------ \n" ); document.write( "Second person DATA: \n" ); document.write( "Time = 12 hr/job ; Rate = 1/12 job/hr \n" ); document.write( "------------------ \n" ); document.write( "Time on this job: \n" ); document.write( "2nd person works x hours. \n" ); document.write( "1st person works x-2 hours. \n" ); document.write( "--------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "x(1/12) + (x-2)(1/8) = 1 job \n" ); document.write( "Multiply thru by 24 to get: \n" ); document.write( "2x + 3(x-2) = 24 \n" ); document.write( "2x + 3x-6 = 24 \n" ); document.write( "5x = 30 \n" ); document.write( "x = 6 hrs (how long 2nd person works) \n" ); document.write( "x-2 = 4 hours (how long 1st person works) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |