document.write( "Question 1167702: A car and a bus set out at 6 P.M. from the same point headed in the same direction. The average speed of the car is twice the average speed of the bus. In 2 h, the car is 68 mi ahead of the bus. Find the rate of the car. \n" ); document.write( "
Algebra.Com's Answer #792301 by Theo(13342)![]() ![]() You can put this solution on YOUR website! r * t = d \n" ); document.write( "r = rate \n" ); document.write( "t = time \n" ); document.write( "d = distance.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if r = rate of the bus, then 2r = rate of the car. \n" ); document.write( "if x is the distance that the bus travels, then x + 68 is the distance the car traveled.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when time = 2, you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2r * 2 = x + 68 for the car. \n" ); document.write( "r * 2 = x for the bus.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4r = x + 68 for the car. \n" ); document.write( "2r = x for the bus.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the second equation from the first to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2r = 68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for r to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rate of the bus = 34 miles per hour. \n" ); document.write( "the rate of the car = 68 miles per hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 2 hours, the car travels 68 * 2 = 136 miles. \n" ); document.write( "in 2 hours, the bus travels 34 * 2 = 68 miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the car travels 68 miles more than the bus in the same time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is the rate of the car = 68 miles per hour.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |