document.write( "Question 1059913: a private plane takes 8 hours less to travel 960 km than a car. if the plane travels 3 times as fast as the car, what is the speed of the plane and the car? \n" ); document.write( "
Algebra.Com's Answer #674959 by Boreal(15235) You can put this solution on YOUR website! car travels at x mph, and x*t=960km, so t for car=960/x. \n" ); document.write( "plane travels at 3x mph \n" ); document.write( "It takes the plane 960/3x hours to travel the distance. \n" ); document.write( "That is 8 hours less than 960/x, which is the car's time. \n" ); document.write( "Therefore, (960/3x)+8=960/x \n" ); document.write( "multiply everything by 3x \n" ); document.write( "960+24x=2880 \n" ); document.write( "24x=1920 \n" ); document.write( "x=80 km/h ANSWER (car) \n" ); document.write( "3x=240 km/h ANSWER (plane) \n" ); document.write( "It takes the plane 4 hours and it takes the car 12 hours. \n" ); document.write( " \n" ); document.write( " |