document.write( "Question 772723: A student drives from home to school at an average speed of 40 km/hr and returns home at an average speed of 60 km/hr. Find the average speed for the entire trip? Why is your answer not 50 km/hr? \n" ); document.write( "
Algebra.Com's Answer #471170 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A student drives from home to school at an average speed of 40 km/hr and returns home at an average speed of 60 km/hr. \n" ); document.write( " Find the average speed for the entire trip? \n" ); document.write( ": \n" ); document.write( "Let d = the one-way distance \n" ); document.write( "Let a = the average speed for the round trip \n" ); document.write( ": \n" ); document.write( "Write time equation; time = dist/speed \n" ); document.write( ": \n" ); document.write( "To sch time + return time = total time \n" ); document.write( " \n" ); document.write( "multiply equation by 120 a to clear the denominators, results: \n" ); document.write( "3ad + 2ad = 120(2d) \n" ); document.write( "5ad = 240d \n" ); document.write( "divide both sides by d \n" ); document.write( "5a = 240 \n" ); document.write( "a = 240/5 \n" ); document.write( "a = 48 mph is the average speed \n" ); document.write( ": \n" ); document.write( "Why is your answer not 50 km/hr? Because you spend more time driving 40 \n" ); document.write( "than you do a 60. \n" ); document.write( " |