document.write( "Question 1124835: A manager travels 2000 miles in a jet and then an additional 500 miles by car. If the car takes one hour longer than the jet ride, and if the speed of the jet is 5 times that of the car, find the time the manager travels by jet and by car, respectively. \n" ); document.write( "
Algebra.Com's Answer #741154 by greenestamps(13206) You can put this solution on YOUR website! \n" ); document.write( "Let x be the speed of the car; then 5x is the speed of the jet. \n" ); document.write( "time = distance divided by speed: \n" ); document.write( "time in jet = 2000/5x \n" ); document.write( "time in car = 500/x \n" ); document.write( "The time in the car is 1 hour more than the time in the jet: \n" ); document.write( "500/x = 2000/5x+1 \n" ); document.write( "500/x = 400/x+1 \n" ); document.write( "100/x = 1 \n" ); document.write( "x = 100 \n" ); document.write( "The speed of the car is x = 100mph; the speed of the jet is 5x = 500mph. \n" ); document.write( "The time in the car is 500/100 = 5 hours; the time in the jet is 2000/500 = 4 hours. \n" ); document.write( " |