document.write( "Question 574816: A boat can travel at a speed of 12km / h in still water. If it takes three hours to go 15km upstream and back, find the speed of the current. \n" ); document.write( "
Algebra.Com's Answer #369299 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat can travel at a speed of 12km / h in still water. If it takes three hours to go 15km upstream and back, find the speed of the current. \n" ); document.write( "----------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "rate = 12-c km/h ; distance = 15 km ; time = 15/(12-c) hrs \n" ); document.write( "------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "rate = 12+c km/h ; distance = 15 km ; time = 15/(12+c) hrs \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "time + time = 3 hrs. \n" ); document.write( "15/(12-c) + 15/(12+c) = 3 \n" ); document.write( "----- \n" ); document.write( "[15(12+c) + 15(12-c) = 3(144-c^2) \n" ); document.write( "----- \n" ); document.write( "360 = 3(144-c^2 \n" ); document.write( "120 = 144-c^2 \n" ); document.write( "c^2 = 24 \n" ); document.write( "c = 2sqrt(6) km/h (speed of the current) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |