document.write( "Question 1195930: In an automobile race, a driver was 240 miles from the finish line after 3 hours. Another driver, who was in a later race, traveled at the same speed as the first driver. After 2.5 hours the second driver was 300 miles from the finish. Find the speed of each driver. \n" ); document.write( "
Algebra.Com's Answer #828559 by ikleyn(52855) You can put this solution on YOUR website! . \n" ); document.write( "In an automobile race, a driver was 240 miles from the finish line after 3 hours. \n" ); document.write( "Another driver, who was in a later race, traveled at the same speed as the first driver. \n" ); document.write( "After 2.5 hours the second driver was 300 miles from the finish. Find the speed of each driver. \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "As the problem says in the description, BOTH drivers have the same speed.\r\n" ); document.write( "\r\n" ); document.write( "Let x miles per hour be their common speed.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First driver was 240 miles from the finish 3 hours after the start.\r\n" ); document.write( "\r\n" ); document.write( "Second driver was 300 miles from the finish 2.5 hours after the start.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that first driver in 3 hours traveled 60 miles farther,\r\n" ); document.write( "than the second driver traveled in 2.5 hours with the same speed.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the speed of the first driver was 60/0.5 = 120 miles per hour.\r\n" ); document.write( "\r\n" ); document.write( "And since both drivers have THE SAME SPEED, we have this\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. Each driver traveled at the speed of 120 miles per hour.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved and carefully explained.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |