document.write( "Question 791282: A car travels along a certain road at an average speed of 40 km/h, and returns along the same road at an average speed of 60 km/h. Calculate the average speed for the round trip. (Don't say 50 km/h!) \n" ); document.write( "
Algebra.Com's Answer #479528 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! when the speed is 40 km/hr, we know this much\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 40t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t = d/40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when the speed is 60 km/hr, we know this much\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = rt\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = 60t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t = d/60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So it takes d/40 hours when the speed is 40 km/hr and it takes d/60 hours when the speed is 60 km/hr\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add up the two times\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d/40 + d/60 = 3d/120 + 2d/120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d/40 + d/60 = 5d/120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d/40 + d/60 = d/24\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So overall, it will take d/24 hours (for the entire round trip)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the sake of simplicity, let's say d = 24 (so that d/24 turns into 24/24 = 1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because going one way will have you going 24 km, this means that completing a full round trip will have you traveling 2*24 = 48 km\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So because you have traveled 48 km in one hour (this is average over the entire trip), the average speed is 48 km/hr \n" ); document.write( " |