document.write( "Question 990108: Paul bikes for 3 hours to reach his favorite beach. He bikes 2 miles per hour faster on the way back. So the trip takes only 2.5 hours. How fast did he bike going to the beach? \n" ); document.write( "
Algebra.Com's Answer #610253 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Paul bikes for 3 hours to reach his favorite beach. \n" ); document.write( " He bikes 2 miles per hour faster on the way back. \n" ); document.write( " So the trip takes only 2.5 hours. \n" ); document.write( " How fast did he bike going to the beach? \n" ); document.write( ": \n" ); document.write( "let s = the slower speed \n" ); document.write( "then \n" ); document.write( "(s+2) = the faster speed \n" ); document.write( ": \n" ); document.write( "Write a distance equation, the dist there and back are the same therefore \n" ); document.write( "3s = 2.5(s+2) \n" ); document.write( "3s = 2.5s + 5 \n" ); document.write( "3s - 2.5s = 5 \n" ); document.write( ".5s = 5 \n" ); document.write( "s = 5/.5 \n" ); document.write( "s = 10 mph to the beach \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the actual distance each way, should be the same \n" ); document.write( "3*10 = 30 mi \n" ); document.write( "2.5(12) = 30 mi \n" ); document.write( " |