document.write( "Question 263127: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water?
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Algebra.Com's Answer #193879 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "----- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 7 miles ; rate = x-4 mph ; time = d/r = 7/(x-4) hrs. \n" ); document.write( "---------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 15 miles ; rate = x+4 mph ; time = 15/(x+4) hrs \n" ); document.write( "-------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "time = time \n" ); document.write( "7/(x-4) = 15/(x+4) \n" ); document.write( "7(x+4) = 15(x-4) \n" ); document.write( "7x+28 = 15x-60 \n" ); document.write( "8x = 88 \n" ); document.write( "x = 11 mph (rate in still water) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |