document.write( "Question 89871: Rowing with the current, a canoeist paddled 14 miles in 2 hours. Against the same current he could only paddle 10 miles in the same amount of time. What is the rate of the current in mph? \n" ); document.write( "
Algebra.Com's Answer #65229 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Rowing with the current, a canoeist paddled 14 miles in 2 hours. Against the same current he could only paddle 10 miles in the same amount of time. What is the rate of the current in mph? \n" ); document.write( "--------------- \n" ); document.write( "Let current speed be \"c\"; Let boat speed in still water be \"b\". \n" ); document.write( "------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 14 miles ; time = 2 hrs; rate = d/t = 7 mph \n" ); document.write( "----------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 10 miles ; time = 2 hrs; rate = d/t = 5 mph \n" ); document.write( "----------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "b+c = 7 mph \n" ); document.write( "b-c = 5 mph \n" ); document.write( "------------ \n" ); document.write( "Add the two to get: \n" ); document.write( "2b = 12 mph \n" ); document.write( "b = 6 mph (speed of the boat in still water) \n" ); document.write( "c = 1 mph (speed of the current) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |