document.write( "Question 79166: A boat moves 9 kilometers upstream in the same amount of time it moves 16 kilometers downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat still in the water. \n" ); document.write( "
Algebra.Com's Answer #56828 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! distance=rate*time. \n" ); document.write( "9=(r-6)t upstream \n" ); document.write( "16=(r+6)t downstream. \n" ); document.write( "seeing as the times are equal we have: \n" ); document.write( "9/(r-6)=16/(r+6) \n" ); document.write( "16r-96=9r+54 \n" ); document.write( "16r-9r=54+96 \n" ); document.write( "7r=150 \n" ); document.write( "r=21.43 kl/h speed of the boat in still water. \n" ); document.write( "proof \n" ); document.write( "9/(21.43-6)=16/(21.43+6) \n" ); document.write( "9/15.43=16/27.43 \n" ); document.write( ".5833=.5833 \n" ); document.write( " |