document.write( "Question 189326: A rowing team rowing with the current travelled 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours. Find:
\n" );
document.write( "a) The rate of the rowing team in calm water and,
\n" );
document.write( "b) The rate of the current\r
\n" );
document.write( "\n" );
document.write( "I tried the question and got 6km/h in calm water
\n" );
document.write( "and 2km/h as the rate of the current. Is that right? \n" );
document.write( "
Algebra.Com's Answer #142086 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A rowing team rowing with the current travel \n" ); document.write( "ed 24 km in 3 hours. Against the current, the team rowed 8 km in 2 hours. \n" ); document.write( "Find: \n" ); document.write( "Let x = boat speed in calm water \n" ); document.write( "Let y = rate of the current \n" ); document.write( ": \n" ); document.write( "Write two distance equations; Dist = time * speed \n" ); document.write( "3(x + y) = 24; with the current \n" ); document.write( "2(x - y) = 8; against the current \n" ); document.write( ": \n" ); document.write( "Simplify both equations, divide the 1st by 3 and the 2nd by 2; results \n" ); document.write( "x + y = 8 \n" ); document.write( "x - y = 4 \n" ); document.write( "------------addition eliminates y \n" ); document.write( "2x = 12 \n" ); document.write( "x = \n" ); document.write( "x = 6 mph is the boat speed in calm water \n" ); document.write( "and \n" ); document.write( "x + y = 8 \n" ); document.write( "6 + y = 8 \n" ); document.write( "y = 8 - 6 \n" ); document.write( "y = 2 mph is the speed of the current \n" ); document.write( ": \n" ); document.write( "which is what you got, way to go!\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |