document.write( "Question 928256: Eduardo takes 3 hours longer to complete a job than Bill. If they can complete the job together in 4 hours, find how long it takes each person to complete the job alone.
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Algebra.Com's Answer #563571 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! r = w/t \n" ); document.write( "--- \n" ); document.write( "x = ed rate \n" ); document.write( "y = bill rate \n" ); document.write( "t = bill time per job \n" ); document.write( "--- \n" ); document.write( "individual rates: \n" ); document.write( "y = 1/t \n" ); document.write( "x = 1/(t + 3) \n" ); document.write( "--- \n" ); document.write( "together rate: \n" ); document.write( "x + y = 1/4 \n" ); document.write( "1/(t + 3) + 1/t = 1/4 \n" ); document.write( "t/t(t + 3) + (t + 3)/t(t + 3) = 1/4 \n" ); document.write( "t + (t + 3) = (1/4)t(t + 3) \n" ); document.write( "2t + 3 = (1/4)tt + (3/4)t \n" ); document.write( "(1/4)tt + (3/4)t - 2t - 3 = 0 \n" ); document.write( "(1/4)tt + (3/4)t - (6/4)t - 3 = 0 \n" ); document.write( "(1/4)tt - (3/4)t - 3 = 0 \n" ); document.write( "0.25tt - 0.75t - 3 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=0.25, b=-0.75 and c=-3 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "0.25 -0.75 -3 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "the quadratic has two real roots at: \n" ); document.write( "--- \n" ); document.write( "t = 5.27491722 \n" ); document.write( "t = -2.27491722 \n" ); document.write( "--- \n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root: \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "bill time per job = 5.3 hours \n" ); document.write( "ed time per job = 8.3 hours \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |