document.write( "Question 924155: A train travels 110 km in the same time that a plane covers 385 km. If the speed of the plane is 30 km per hr less than 4 times the speed of the train, find both speeds. \n" ); document.write( "
Algebra.Com's Answer #560649 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = speed of airplane \n" ); document.write( "y = speed of train \n" ); document.write( "--- \n" ); document.write( "s = d/t \n" ); document.write( "t = d/s \n" ); document.write( "--- \n" ); document.write( "airplane time: \n" ); document.write( "t = 385/x \n" ); document.write( "--- \n" ); document.write( "train time: \n" ); document.write( "t = 110/y \n" ); document.write( "--- \n" ); document.write( "t = 385/x = t = 110/y \n" ); document.write( "385/x = 110/y \n" ); document.write( "385y = 110x \n" ); document.write( "--- \n" ); document.write( "x = 4y - 30 \n" ); document.write( "--- \n" ); document.write( "385y = 110x \n" ); document.write( "x = 4y - 30 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "110x - 385y = 0 \n" ); document.write( "x - 4y = -30 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "solution: \n" ); document.write( "x = speed of airplane = 210 kph \n" ); document.write( "y = speed of train = 60 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( "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( " |