document.write( "Question 176977: A boat on the Hudson River travels the same distance in 1/2 hour downstream as it can going upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?\r
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document.write( "Please help! There are no examples like this one in the book.
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Algebra.Com's Answer #132025 by stanbon(75887) ![]() You can put this solution on YOUR website! A boat on the Hudson River travels the same distance in 1/2 hour downstream as it can going upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current? \n" ); document.write( "------------------------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 1/2 hr ; rate = (12+c) mph ; distance = rt = (1/2)(12+c) = 6 + c/2 miles \n" ); document.write( "-------------------------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 1 hr ; rate = (12-c) mph ; distance = rt = 1(12-c) mph \n" ); document.write( "-------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance up = distance down \n" ); document.write( "6 + c/2 = 12 - c \n" ); document.write( "(3/2)c = 6 \n" ); document.write( "c = 4 mph (speed of the current) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |