document.write( "Question 576037: An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task working alone. It takes William 3 hours longer than Timothy to paint a 4x 5 feet bedroom. Respond to the following:\r
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document.write( "1.Working together, both can complete the job in 2 hours. How long does it take each one to complete the painting job working alone? \n" );
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Algebra.Com's Answer #369696 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task working alone. It takes William 3 hours longer than Timothy to paint a 4x 5 feet bedroom. Respond to the following: \n" ); document.write( "1.Working together, both can complete the job in 2 hours. How long does it take each one to complete the painting job working alone? \n" ); document.write( "------ \n" ); document.write( "T = (AB)/(A+B) \n" ); document.write( "2 = (A(A+3))/(A + A+3) \n" ); document.write( "---- \n" ); document.write( "2 = (A^2+3A)/(2A+3) \n" ); document.write( "---- \n" ); document.write( "A^2 + 3A = 4A+6 \n" ); document.write( "A^2 -A -6 = 0 \n" ); document.write( "(A-3)(A+2) = 0 \n" ); document.write( "Usable solution: \n" ); document.write( "A = 3 hrs (Timothy's time to do the job) \n" ); document.write( "A+3 = 6 hrs (William's time to do the job) \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |