document.write( "Question 774924: A man who can row 4 miles per hour in still water finds that it requires 6 1/2 hours to row upstream a distance requiring 3 1/4 to row downstream. what is the rate of the stream?
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Algebra.Com's Answer #472508 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! This type of uniform rates problem comes up so frequently that a more general solution is valuable. \r \n" ); document.write( "\n" ); document.write( "A man can row R miles per hour in still water needs g hours to row upsteam for distance d and requires b hours to row that same distance back downsteam. Find the rate of the stream, c.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R = row rate in still water. \n" ); document.write( "c = rate of stream. \n" ); document.write( "g = time to travel d distance upstream. \n" ); document.write( "b = time to travel d distance downstream. \n" ); document.write( "d = each one-way distance up and back destination. \n" ); document.write( "INQUIRY FOR UNKNOWN VARIABLE, c. \n" ); document.write( "INTERMEDIATE UNKNOWN VARIABLE, d.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ORGANIZE DATA INTO TABLE\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Direction_______rate_________time__________distance \n" ); document.write( "Up______________R-c__________g_____________d=(R-c)g \n" ); document.write( "Back____________R+c__________b_____________d=(R+c)b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The distance going up to the destination, upstream is equal to the distance returning back downstream. In this general case, observe that \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equality of the two distances indicates \n" ); document.write( "We solve this equation for the unknown number, c. \n" ); document.write( " |