document.write( "Question 523129: Trais made a business trip of 234 miles. He averaged 54 mph for the first part of the trip and 60 mph for the second part. If the trip took 4 hours, how long did he travel at each rate? \n" ); document.write( "
Algebra.Com's Answer #347196 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a business trip of 234 miles. He averaged 54 mph for the first part of the trip and 60 mph for the second part. \n" ); document.write( " If the trip took 4 hours, how long did he travel at each rate? \n" ); document.write( ": \n" ); document.write( "Let t = travel time at 60 \n" ); document.write( "then \n" ); document.write( "(4-t) = travel time at 54 \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = speed * time \n" ); document.write( ": \n" ); document.write( "dist at 60 + dist at 54 = 234 mi \n" ); document.write( "60t + 54(4-t) = 234 \n" ); document.write( "60t + 216 - 54t = 234 \n" ); document.write( "60t - 54t = 234 - 216 \n" ); document.write( "6t = 18 \n" ); document.write( "t = 18/6 \n" ); document.write( "t = 3 hrs at 60 mph \n" ); document.write( "then \n" ); document.write( "4 - 3 = 1 hr at 54 mph \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check by finding the distance at each speed \n" ); document.write( "3*60 = 180 \n" ); document.write( "1*54 = 54 \n" ); document.write( "----------- \n" ); document.write( "total: 234 mi \n" ); document.write( " \n" ); document.write( " |