document.write( "Question 371190: 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 #264454 by mananth(16946) You can put this solution on YOUR website! rate of car on level ground be x mph \n" ); document.write( "on the mountains it will be x-30 mph \n" ); document.write( "... \n" ); document.write( "distance traveled on level ground = 400 miles \n" ); document.write( "distance traveled in the mountains = 160 miles \n" ); document.write( "... \n" ); document.write( "t = d/r \n" ); document.write( ".. \n" ); document.write( "time is sdame on both legs. \n" ); document.write( ".. \n" ); document.write( "400/x=160/(x-30) \n" ); document.write( "400(x-30)=160x \n" ); document.write( "400x-12000=160x \n" ); document.write( "+12000 +12000 \n" ); document.write( "400x = 160x+12000 \n" ); document.write( "-160x -160x \n" ); document.write( "240x=12000 \n" ); document.write( "/240 \n" ); document.write( "240x/240 = 12000/240 \n" ); document.write( "x=50 mph on level ground \n" ); document.write( "in the mountains it will go at 50-30 = 20 mph \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |