document.write( "Question 936252: Bob drove home to work at 30mph. After work the traffic was heavier, and he drove home at 25 mph. His driving time to and from work was 1 hour and 6 minutes. How far does he live from his job \n" ); document.write( "
Algebra.Com's Answer #569811 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = distance from home to work \n" ); document.write( "a = driving time home to work \n" ); document.write( "b = driving time work to home \n" ); document.write( "--- \n" ); document.write( "s = d/t \n" ); document.write( "t = d/s \n" ); document.write( "--- \n" ); document.write( "driving time home to work: \n" ); document.write( "a = x/30 \n" ); document.write( "--- \n" ); document.write( "driving time work to home: \n" ); document.write( "b = x/25 \n" ); document.write( "--- \n" ); document.write( "total time: \n" ); document.write( "a + b = 1 + 6/60 \n" ); document.write( "a + b = 1.1 \n" ); document.write( "x/30 + x/25 = 1.1 \n" ); document.write( "25x/(25*30) + 30x/(25*30) = 1.1 \n" ); document.write( "25x + 30x = 1.1*(25*30) \n" ); document.write( "55x = 1.1*(25*30) \n" ); document.write( "x = 1.1*(25*30)/55 \n" ); document.write( "x = 15 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "x = distance from home to work = 15 miles \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( " |