document.write( "Question 575063: I rowed 20 km up a river that had a steady current in 5 hours and returned downstream in 2.5 hours. How fast would I have rowed the boat in still water, and what is the speed of the current?\r
\n" );
document.write( "\n" );
document.write( "Let x be the speed of the boat in still water and y the speed of the current (km/h). The speed of the boat going upstream is (x –y) km/h and the speed of the boat going downstream is (x+y) km/h,.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #369365 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I rowed 20 km up a river that had a steady current in 5 hours and returned downstream in 2.5 hours. How fast would I have rowed the boat in still water, and what is the speed of the current? \n" ); document.write( "Let x be the speed of the boat in still water and y the speed of the current (km/h). The speed of the boat going upstream is (x –y) km/h and the speed of the boat going downstream is (x+y) km/h,. \n" ); document.write( "--- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 20 km ; rate = (x-y)km/h ; time = 20/(x-y) hr \n" ); document.write( "------------------ \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 20 km ; rate = (x+y)km/h ; time = 20/(x+y) hr \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "20/(x-y) = 5 hrs \n" ); document.write( "20/(x+y) = 2.5 hrs \n" ); document.write( "--------------------------- \n" ); document.write( "x-y = 4 \n" ); document.write( "x+y = 8 \n" ); document.write( "____ \n" ); document.write( "Add and solve for \"x\": \n" ); document.write( "2x = 12 \n" ); document.write( "x = 6 km/h (boat speed in calm water) \n" ); document.write( "----- \n" ); document.write( "Solve for \"y\": \n" ); document.write( "x+y = 8 \n" ); document.write( "y = 2 km/h (current speed) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========================== \n" ); document.write( " |