document.write( "Question 336686: A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the rest of thetrip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate. \n" ); document.write( "
Algebra.Com's Answer #241539 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the rest of the trip. \n" ); document.write( " If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate. \n" ); document.write( "; \n" ); document.write( "Let t = time at 50 mph rate \n" ); document.write( "then \n" ); document.write( "(5-t) = time at 40 mph rate \n" ); document.write( ": \n" ); document.write( "Write a distance equation: dist = speed * time \n" ); document.write( ": \n" ); document.write( "50 mph dist + 40 mph dist = 220 mi \n" ); document.write( "50t + 40(5-t) = 220 \n" ); document.write( "50t + 200 - 40t = 220 \n" ); document.write( "50t - 40t = 220 - 200 \n" ); document.write( "10t = 20 \n" ); document.write( "t = 2 hrs at 50 mph \n" ); document.write( "then \n" ); document.write( "5 - 2 = 3 hrs at 40 mph \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution by finding the distances \n" ); document.write( "50(2) = 100 \n" ); document.write( "40(3) = 120 \n" ); document.write( "-------------- \n" ); document.write( "total: 220 \n" ); document.write( " |