document.write( "Question 522570: A person travels by car from one city to another with different constant speeds between the cities. She drives 30 min at 80 km/hr, 12 min at 100 km/hr and 45 min at 40 km/hr. Determine the average speed for the trip and determine the distance between the initial and final cities along the trip. \n" ); document.write( "
Algebra.Com's Answer #347072 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A person travels by car from one city to another with different constant speeds between the cities. She drives 30 min at 80 km/hr, 12 min at 100 km/hr and 45 min at 40 km/hr. \n" ); document.write( " Determine the average speed for the trip and determine the distance between the initial and final cities along the trip. \n" ); document.write( ": \n" ); document.write( "Change minutes to hrs, divide by 60: \n" ); document.write( "30 min = .50 hrs \n" ); document.write( "45 min = .75 hrs \n" ); document.write( "12 min = .20 hrs \n" ); document.write( "---------------- \n" ); document.write( "total + 1.45 hrs, total travel time \n" ); document.write( ": \n" ); document.write( "let a = average speed for the trip \n" ); document.write( ": \n" ); document.write( "Write a dist equation, dist = speed * time \n" ); document.write( ": \n" ); document.write( "80(.5) + 100(.20) + 40(.75) = 1.45a \n" ); document.write( "40 + 20 + 30 = 1.45a \n" ); document.write( "90 = 1.45a \n" ); document.write( "a = \n" ); document.write( "a = 62.069 km/h, for the entire trip \n" ); document.write( "and \n" ); document.write( "90 km is the total distance \n" ); document.write( " |