document.write( "Question 360684: John drove southeast from Albuquerque to Roswell and then south to Carlsbad. He averaged 75 mph along the route from Albuquerque to Roswell and averaged 70 mph from Roswell to Carlsbad. He covered the entire 220 miles in 3 hours. How long did he take to drive from Albuquerque to Roswell? \n" ); document.write( "
| Algebra.Com's Answer #257460 by ankor@dixie-net.com(22740)     You can put this solution on YOUR website! John drove southeast from Albuquerque to Roswell and then south to Carlsbad. \n" ); document.write( " He averaged 75 mph along the route from Albuquerque to Roswell \n" ); document.write( "and averaged 70 mph from Roswell to Carlsbad. \n" ); document.write( " He covered the entire 220 miles in 3 hours. \n" ); document.write( " How long did he take to drive from Albuquerque to Roswell? \n" ); document.write( ": \n" ); document.write( "Let t = travel time from A to R \n" ); document.write( "then \n" ); document.write( "(3-t) = travel time from R to C \n" ); document.write( ": \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( ": \n" ); document.write( "A-R dist + R-C dist = 220 miles \n" ); document.write( "75t + 70(3-t) = 220 \n" ); document.write( "75t + 210 - 70t = 220 \n" ); document.write( "75t - 70t = 220 - 210 \n" ); document.write( "5t = 10 \n" ); document.write( "t = 2 hrs from A to R \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by finding the total dist \n" ); document.write( "R to C time 3 - 2 = 1 hr \n" ); document.write( "2(75) + 1(70) = 220 mi \n" ); document.write( " \n" ); document.write( " |