document.write( "Question 823236: How in the world do you set this guy up?\r
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document.write( "A boat travels 25 miles per hour in still water. It takes 3 and 1/3 hours in total for the boat to travel 40 miles up a river and then return by the same route. What is the speed of the current in the river?\r
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document.write( "Think you guys could help me set it up?\r
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Algebra.Com's Answer #495339 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "s = d / t \n" ); document.write( "t = d / s \n" ); document.write( "T = 40/(25 - w) + 40/(25 + w) \n" ); document.write( "T = 40(25 + w)/(25 - w)(25 + w) + 40(25 - w)/(25 - w)(25 + w) \n" ); document.write( "T(25 - w)(25 + w) = 40(25 + w) + 40(25 - w) \n" ); document.write( "T(625 - ww) = 1000 + 40w + 1000 - 40w \n" ); document.write( "T(625 - ww) = 2000 \n" ); document.write( "625 - ww = 2000/T \n" ); document.write( "T = 3+1/3 = 10/3 \n" ); document.write( "625 - ww = 2000/(10/3) \n" ); document.write( "-ww + 625 = 600 \n" ); document.write( "-ww + 25 = 0 \n" ); document.write( "--- \n" ); document.write( "the above quadratic equation is in standard form, with a=-1, b=0, and c=25 \n" ); document.write( "--- \n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this: \n" ); document.write( "-1 0 25 \n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "this quadratic has two real roots (the x-intercepts), which are: \n" ); document.write( "w = -5 \n" ); document.write( "w = 5 \n" ); document.write( "--- \n" ); document.write( "negative speed doesn't make sense for this problem, so use the positive root \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "the speed of the current in the river is 5 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( " |