document.write( "Question 937531: A motorist traveled from Town A to Town B. After traveling 1/3 of the distance for the journey at an average speed of 45 km/h, he continued to travel another 480 km to reach Town B. If his average speed for the entire journey was 54 km/h, what was his average speed for the last 2/3 of the distance? \n" ); document.write( "
Algebra.Com's Answer #570954 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = speed for last 2/3 \n" ); document.write( "--- \n" ); document.write( "s = d/t \n" ); document.write( "t = d/s \n" ); document.write( "d = st \n" ); document.write( "--- \n" ); document.write( "distance for last 2/3: \n" ); document.write( "d = 480 km \n" ); document.write( "--- \n" ); document.write( "total distance: \n" ); document.write( "(2/3)d = 480 \n" ); document.write( "d = 480*3/2 \n" ); document.write( "d = 720 km \n" ); document.write( "--- \n" ); document.write( "distance for first 1/3: \n" ); document.write( "720 - 480 = 240 km \n" ); document.write( "--- \n" ); document.write( "time for first 1/3: \n" ); document.write( "t = 240/45 \n" ); document.write( "t = 5.33333333333 hr \n" ); document.write( "--- \n" ); document.write( "total time: \n" ); document.write( "t = 720/54 \n" ); document.write( "t = 13.3333333333 hr \n" ); document.write( "--- \n" ); document.write( "time for last 2/3: \n" ); document.write( "t = 13.3333333333 - 5.33333333333 \n" ); document.write( "t = 8 hr \n" ); document.write( "--- \n" ); document.write( "speed for last 2/3: \n" ); document.write( "x = 480/8 \n" ); document.write( "x = 60 kph \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \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 with 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( "--- \n" ); document.write( " |