document.write( "Question 961328: the current in a stream moves at a speed of 9 mph. A boat travels 22 mi upstream and 22 mi downstream in a total time of 5 hrs. what is the speed of the boat in still water \n" ); document.write( "
Algebra.Com's Answer #587470 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! the current in a stream moves at a speed of 9 mph. A boat travels 22 mi upstream and 22 mi downstream in a total time of 5 hrs. what is the speed of the boat in still water \n" ); document.write( "*** \n" ); document.write( "let x=speed of boat in still water \n" ); document.write( "x+9=speed of boat downstream \n" ); document.write( "x-9=speed of boat upstream \n" ); document.write( ".. \n" ); document.write( "travel time=distance/speed \n" ); document.write( " \n" ); document.write( "lcd: (x+9)(x-9) \n" ); document.write( "22/(x-9)+22/(x+9)=5(x+9)(x-9) \n" ); document.write( "22x+198+22x-198=5(x^2-81) \n" ); document.write( "44x=5x^2-405 \n" ); document.write( "5x^2-44x-405=0 \n" ); document.write( "solve for x by quadratic formula: \n" ); document.write( " \n" ); document.write( "a=5, b=-44, c=-405 \n" ); document.write( "ans: x=14.4 \n" ); document.write( "what is the speed of the boat in still water? 14.4 mph \n" ); document.write( " |