document.write( "Question 207967: On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita's paddling seed in still water and the speed of the river's current. \n" ); document.write( "
Algebra.Com's Answer #157311 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita's paddling sp eed in still water and the speed of the river's current. \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "rate = 2 mph \n" ); document.write( "-------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "rate = 3 mph \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Let P be paddling speed and c be current speed: \n" ); document.write( "------------ \n" ); document.write( "Equations: \n" ); document.write( "p + c = 3 mph \n" ); document.write( "p - c = 2 mph \n" ); document.write( "--------------------- \n" ); document.write( "Add to get: \n" ); document.write( "2p = 5 mph \n" ); document.write( "p = 2.5 mph (paddling speed) \n" ); document.write( "---- \n" ); document.write( "Substitute to solve for \"c\": \n" ); document.write( "2.5 + c = 3 \n" ); document.write( "c = 0.5 mph (speed of the current) \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |