document.write( "Question 567516: a kayaker can paddle 12 mi in 2 h moving with the river current. paddling at the same pace, the trip back against the current takes 4 h. assume that the river current is constant. find what the kayaker's speed would be in still water. \n" ); document.write( "
Algebra.Com's Answer #366584 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a kayaker can paddle 12 mi in 2 h moving with the river current. paddling at the same pace, the trip back against the current takes 4 h. assume that the river current is constant. find what the kayaker's speed would be in still water. \n" ); document.write( "--------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 12 miles ; time = 2 hours ; rate = 12/2 = 6 mph \n" ); document.write( "---------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 12 miles ; time = 4 hrs ; rate = 12/4 = 3 mph \n" ); document.write( "---- \n" ); document.write( "Equations: \n" ); document.write( "Downstream: b + c = 6 \n" ); document.write( "Upstream::: b - c = 3 \n" ); document.write( "------ \n" ); document.write( "Add to get: \n" ); document.write( "2b = 9 \n" ); document.write( "b = 4.5 mph (speed of the boat in still water. \n" ); document.write( "----- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 6 \n" ); document.write( "4.5 + c = 6 \n" ); document.write( "c = 1.5 mph (speed of the current) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " |