document.write( "Question 267080: A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles. \n" ); document.write( "
Algebra.Com's Answer #196141 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A bus traveled on a level road for 3 hrs at an average speed of 20 mph faster than it traveled on a winding road. \n" ); document.write( " The time spent on the winding road was 4 hrs, find the average speed on the level road if the entire trip was 305 miles. \n" ); document.write( ": \n" ); document.write( "Let s = average speed on the level road \n" ); document.write( "then \n" ); document.write( "(s-20) = average speed on the winding road \n" ); document.write( ": \n" ); document.write( "Write a distance equation: Dist = time * speed \n" ); document.write( ": \n" ); document.write( "Lev rd dist + wind rd dist = 305 mi \n" ); document.write( "3s + 4(s-20) = 305 \n" ); document.write( ": \n" ); document.write( "3s + 4s - 80 = 305 \n" ); document.write( "7s = 305 + 80 \n" ); document.write( "7s = 385 \n" ); document.write( "s = \n" ); document.write( "s = 55 mph, av speed on the level road \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check solution by finding the dist traveled at each speed \n" ); document.write( "4(55) = 220 \n" ); document.write( "3(35) = 105 \n" ); document.write( "------------- \n" ); document.write( "total = 305; confirms our solution \n" ); document.write( " |