document.write( "Question 928034: Zach paddled a canoe 2 miles upstream in a river that has a current of 3 mph. He then turned around and paddled downstream until he reached his original starting place. If the entire trip took him 7 hours, how fast would Zach paddle in still water? \n" ); document.write( "
Algebra.Com's Answer #563422 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = zach's speed in still water \n" ); document.write( "y = speed of current = 3 mph \n" ); document.write( "--- \n" ); document.write( "s = d/t \n" ); document.write( "t = d/s \n" ); document.write( "--- \n" ); document.write( "upstream: \n" ); document.write( "a = time upstream \n" ); document.write( "a = 2/(x - y) \n" ); document.write( "a = 2/(x - 3) \n" ); document.write( "--- \n" ); document.write( "downstream: \n" ); document.write( "b = time downstream \n" ); document.write( "b = 2/(x + y) \n" ); document.write( "b = 2/(x + 3) \n" ); document.write( "--- \n" ); document.write( "a + b = 7 \n" ); document.write( "2/(x - 3) + 2/(x + 3) = 7 \n" ); document.write( "2(x + 3)/(x - 3)(x + 3) + 2(x - 3)/(x - 3)(x + 3) = 7 \n" ); document.write( "2(x + 3) + 2(x - 3) = 7(x - 3)(x + 3) \n" ); document.write( "2x + 6 + 2x - 6 = 7(xx - 9) \n" ); document.write( "4x = 7xx - 63 \n" ); document.write( "7xx - 4x - 63 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=7, b=-4 and c=-63 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "7 -4 -63 \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( "x = 3.29928902 \n" ); document.write( "x = -2.72786044 \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( "x = zach's speed in still water = 3.3 mph \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( " |