document.write( "Question 925376: A motorboat moves 12 mph in still water. it travels 45 mi upstream and 45 mi downstream in a total time of 8.0 hrs. what is the speed if the current? \n" ); document.write( "
Algebra.Com's Answer #561478 by TimothyLamb(4379) You can put this solution on YOUR website! x = speed of current \n" ); document.write( "s = d/t \n" ); document.write( "--- \n" ); document.write( "up: \n" ); document.write( "12 + x = 45/tu \n" ); document.write( "tu = 45/(12 + x) \n" ); document.write( "--- \n" ); document.write( "down: \n" ); document.write( "12 - x = 45/td \n" ); document.write( "td = 45/(12 - x) \n" ); document.write( "--- \n" ); document.write( "tu + td = 8 = 45/(12 + x) + 45/(12 - x) \n" ); document.write( "8 = 45(12 - x)/(12 - x)(12 + x) + 45(12 + x)/(12 - x)(12 + x) \n" ); document.write( "8 = ( 45(12 - x) + 45(12 + x) )/(12 - x)(12 + x) \n" ); document.write( "8 = ( 540 - 45x + 540 + 45x )/(144 - xx) \n" ); document.write( "8 = 1080/(144 - xx) \n" ); document.write( "8(144 - xx) = 1080 \n" ); document.write( "1152 - 8xx = 1080 \n" ); document.write( "8xx = 1152 - 1080 \n" ); document.write( "xx = (1152 - 1080)/8 \n" ); document.write( "xx = 9 \n" ); document.write( "x = 3 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = speed of current = 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( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |