document.write( "Question 927455: Mr. Sanchez makes a business trip from his house to the city in 2 hours. One hour later, he returns home in heavy traffic at a rate of 20 kph(kilometers per hour) less than his going rate. If Mr. Sanchez was gone a total of 6 hours, how fast did he travel on each of the trip? \n" ); document.write( "
Algebra.Com's Answer #562967 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! s = d/t \n" ); document.write( "--- \n" ); document.write( "outbound: \n" ); document.write( "t = 2 hrs \n" ); document.write( "x = outbound speed \n" ); document.write( "x = d/2 \n" ); document.write( "d = 2x \n" ); document.write( "--- \n" ); document.write( "return: \n" ); document.write( "he's in the city for 1 hour (not traveling during that 1 hr) \n" ); document.write( "t = 6 - 2 - 1 = 3 hrs \n" ); document.write( "y = return speed \n" ); document.write( "y = x - 20 \n" ); document.write( "y = d/3 \n" ); document.write( "d = 3y \n" ); document.write( "--- \n" ); document.write( "2x = 3y \n" ); document.write( "2x = 3(x - 20) \n" ); document.write( "2x = 3x - 60 \n" ); document.write( "x = 60 \n" ); document.write( "y = x - 20 \n" ); document.write( "y = 60 - 20 \n" ); document.write( "y = 40 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = outbound speed = 60 kph \n" ); document.write( "y = return speed = 40 kph \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( " |