document.write( "Question 334172: A man drove the first 75 miles of a trip at an average of 50mph. He then drove the next 150 miles at an average of 60 mph. What was his average speed in mph for the trip? \n" ); document.write( "
Algebra.Com's Answer #239468 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man drove the first 75 miles of a trip at an average of 50mph. \n" ); document.write( " He then drove the next 150 miles at an average of 60 mph. \n" ); document.write( " What was his average speed in mph for the trip? \n" ); document.write( ": \n" ); document.write( "Let a = average speed for the trip \n" ); document.write( ": \n" ); document.write( "Write a time equation, time = dist/speed \n" ); document.write( "Total trip dist = 75 + 150 = 225 \n" ); document.write( ": \n" ); document.write( "50mph time + 60mph time = total time \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply by 300a to get rid of the denominators, results \n" ); document.write( "6a(75) + 5a(150) = 300(225) \n" ); document.write( ": \n" ); document.write( "450a + 750a = 67500 \n" ); document.write( ": \n" ); document.write( "1200a = 67500 \n" ); document.write( "a = \n" ); document.write( "a = 56.25 mph is the average speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that is true, find the times: \n" ); document.write( " \n" ); document.write( "1.5 + 2.5 = 4 \n" ); document.write( " |