document.write( "Question 701342: If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other. How many hours will it take the faster person to complete 1 job. \n" ); document.write( "
Algebra.Com's Answer #432379 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If it takes 2 people 4 hours to complete 1 job, with 1 person working 1.5 times faster than the other. \n" ); document.write( ": \n" ); document.write( "let x = time for the fast person to complete the job (alone) \n" ); document.write( "then \n" ); document.write( "1.5x = time required by the other person alone \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1 \n" ); document.write( " \n" ); document.write( "multiply by 3x to get rid of the denominators, resulting in: \n" ); document.write( "3(4) + 2(4) = 3x \n" ); document.write( "12 + 8 = 3x \n" ); document.write( "20 = 3x \n" ); document.write( "x = 20/3 \n" ); document.write( "x = 6 \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check this with a calc \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |