document.write( "Question 578503: Andy canoed down river for two hours and returned in three hours. Andy's speed in still water is 2mph faster than the speed of the current. Find both speeds, write a system and then solve it. Thank you so much you are a life saver! \n" ); document.write( "
Algebra.Com's Answer #370673 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Andy canoed down river for two hours and returned in three hours. \n" ); document.write( " Andy's speed in still water is 2mph faster than the speed of the current. \n" ); document.write( " Find both speeds, write a system and then solve it. \n" ); document.write( ": \n" ); document.write( "Let s = still water speed \n" ); document.write( "then \n" ); document.write( "(s-2) = current speed \n" ); document.write( ": \n" ); document.write( "Upstream speed \n" ); document.write( "s - (s-2) = s - s + 2 \n" ); document.write( "2 mph is upstream speed \n" ); document.write( ": \n" ); document.write( "Downstream speed \n" ); document.write( "s + (s-2) = \n" ); document.write( "2s-2 mph is downstream speed \n" ); document.write( "; \n" ); document.write( "The distance up and back is the same, write a distance equation: \n" ); document.write( "Down dist = Up dist \n" ); document.write( "2(2s-2) = 3(2) \n" ); document.write( "4s - 4 = 6 \n" ); document.write( "4s = 6 + 4 \n" ); document.write( "s = 10/4 \n" ); document.write( "s = 2.5 mph in still water \n" ); document.write( "and \n" ); document.write( "2.5 - 2 = .5 mph is the current \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this by finding the distances, they should be the same \n" ); document.write( "3(2.5-.5) = 6 mi \n" ); document.write( "2(2.5+.5) = 6 mi\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |