document.write( "Question 740750: A train and a car leave a station at the same time, the train traveling due north and the car traveling due west. When they are 100 miles apart, the train has traveled 20 miles farther than the car. Find the distance each has traveled. \n" ); document.write( "

Algebra.Com's Answer #451685 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
At any given time they form a right angle with the starting point.\r
\n" ); document.write( "\n" ); document.write( "100 miles apart
\n" ); document.write( "hypotenuse = 100\r
\n" ); document.write( "\n" ); document.write( "car x miles
\n" ); document.write( "train (x+20) miles\r
\n" ); document.write( "\n" ); document.write( "apply Pythagorean theorem\r
\n" ); document.write( "\n" ); document.write( "x^2+(x+20)^@=100^2\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+40x+400=10000\r
\n" ); document.write( "\n" ); document.write( "2x^2+40x-9600=0\r
\n" ); document.write( "\n" ); document.write( "/2
\n" ); document.write( "x^2+20x-4800\r
\n" ); document.write( "\n" ); document.write( "x^2+80x-60x-4800=0\r
\n" ); document.write( "\n" ); document.write( "(x+80)(x-60)=0\r
\n" ); document.write( "\n" ); document.write( "ignore negative
\n" ); document.write( "x= 60\r
\n" ); document.write( "\n" ); document.write( "car 60 miles
\n" ); document.write( "train 80 miles\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );