document.write( "Question 168443: The speed of a stream is 3 mph. A boat travels 5 miles upstream in the same time it takes to travel 11 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #124174 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The speed of a stream is 3 mph. A boat travels 5 miles upstream in the same time it takes to travel 11 miles downstream. What is the speed of the boat in still water? \n" ); document.write( ". \n" ); document.write( "You will need to apply the \"distance formula\": \n" ); document.write( "d = rt \n" ); document.write( "where \n" ); document.write( "d is distance \n" ); document.write( "r is rate or speed \n" ); document.write( "t is time \n" ); document.write( ". \n" ); document.write( "Since this problem is talking about \"time\" solve the equation for 't': \n" ); document.write( "d =rt \n" ); document.write( "d/r = t \n" ); document.write( ". \n" ); document.write( "Let x = speed of boat in still water \n" ); document.write( "5/(x-3) = 11/(x+3) \n" ); document.write( "Multiplying both sides by (x+3)(x-3): \n" ); document.write( "5(x+3) = 11(x-3) \n" ); document.write( "5x+15 = 11x-33 \n" ); document.write( "15 = 6x-33 \n" ); document.write( "48 = 6x \n" ); document.write( "8 mph = x (speed of boat in still water)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |