document.write( "Question 180881: The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water?\r
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Algebra.Com's Answer #135618 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The Hudson River flows at a rate of 5 miles per hour. A patrol boat travels 40 miles upriver, and returns in a total time of 6 hours. What is the speed of the boat in still water? \n" ); document.write( "----------------------- \n" ); document.write( "x = rate of boat \n" ); document.write( "40/(x-5) + 40/(x+5) = 6 \n" ); document.write( "Time up + time back = 6 \n" ); document.write( "Multiply by (x-5)*(x+5) \n" ); document.write( "40(x+5) + 40(x-5) = 6(x+5)(x-5) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "(3x + 5)*(x - 15) = 0 \n" ); document.write( "x = 15 \n" ); document.write( "x = -5/3 \n" ); document.write( "Ignore the negative value \n" ); document.write( "It's 15 mph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |