document.write( "Question 408008: A car averaged 40 mph for part of a trip and 50 mph for the remainer. If the 5-hour trip covered 210 miles, for how long did the car average 40 mph? \n" ); document.write( "
Algebra.Com's Answer #287490 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A car averaged 40 mph for part of a trip and 50 mph for the remainder. \n" ); document.write( "If the 5-hour trip covered 210 miles, for how long did the car average 40 mph? \n" ); document.write( ": \n" ); document.write( "Let t = time at 40 mph \n" ); document.write( "then, since the total time was 5 hrs: \n" ); document.write( "(5-t) = time at 50 mph \n" ); document.write( ": \n" ); document.write( "Write a dist equation: Dist = speed * time \n" ); document.write( "40t + 50(5-t) = 210 \n" ); document.write( "40t + 250 - 50t = 210 \n" ); document.write( "40t - 50t = 210 - 250 \n" ); document.write( "-10t = -40 \n" ); document.write( "t = \n" ); document.write( "t = +4 hrs at 40 mph \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solution by finding the dist at each speed (5-4 = 1 hr at 50mph) \n" ); document.write( "4(40) + 1(50) = \n" ); document.write( "160 + 50 = 210 \n" ); document.write( " |