document.write( "Question 813203: Ian paddled a canoe 7 miles upstream in a river that has a current of 4 mph. He then turned around and paddled downstream until he reached his original starting place. If the entire trip took him 6 hours, how fast would Ian paddle in still water? \n" ); document.write( "
Algebra.Com's Answer #489522 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Ian paddled a canoe 7 miles upstream in a river that has a current of 4 mph. He then turned around and paddled downstream until he reached his original starting place. If the entire trip took him 6 hours, how fast would Ian paddle in still water? \n" ); document.write( "--------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 7 miles ; rate = b-4 mph ; time = d/r = 7/(b-4) hrs \n" ); document.write( "------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 7 miles ; rate = b+4 mph ; time = d/r = 7/(b+4) hrs \n" ); document.write( "------------------------ \n" ); document.write( "Equation: \n" ); document.write( "time + time = 6 hrs \n" ); document.write( "7/(b-4) + 7/(b+4) = 6 \n" ); document.write( "------- \n" ); document.write( "7(b+4) + 7(b-4) = 6(b^2-16) \n" ); document.write( "14b = 6b^2 - 96 \n" ); document.write( "---------- \n" ); document.write( "3b^2 - 7b -48 = 0 \n" ); document.write( "------------ \n" ); document.write( "Positive solution:: \n" ); document.write( "b = 5 1/3 mph (Ian's rate in still water) \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " \n" ); document.write( " |