document.write( "Question 572856: A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. If the rate of the car is 30 miles per hour less in the mountains than on level ground, find its rate in the mountains. \n" ); document.write( "
Algebra.Com's Answer #368528 by mananth(16946) You can put this solution on YOUR website! Level x mph \n" ); document.write( "Mountain -30 slower x -30 mph \n" ); document.write( " \n" ); document.write( "Level 400 miles \n" ); document.write( "Mountain 160 miles \n" ); document.write( "Level time = Mountain time \n" ); document.write( "t=d/r \n" ); document.write( "400 / x = 160 /( x -30 ) \n" ); document.write( "cross multiply \n" ); document.write( "400 ( x -30 ) = 160 x \n" ); document.write( "400 x + -12000 = 160 x \n" ); document.write( "400 x - 160 x = 12000 \n" ); document.write( "400 x = 12000 \n" ); document.write( "/ 360 \n" ); document.write( "x = 60 mph SPEED ON LEVEL \r \n" ); document.write( "\n" ); document.write( "speed in mountains = 60-30 = 30 MPH \n" ); document.write( " \n" ); document.write( " |