document.write( "Question 133076: Michael rows 8 mph in still water. If he rows 24 miles downstream in the same amount of time he rows 8 miles upstream, find the rate of the current.\r
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Algebra.Com's Answer #97292 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! rate of the current: r \n" ); document.write( "downstream rate of the boat: 8 + r \n" ); document.write( "upstream rate of the boat: 8 - r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "distance = rate times time, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Downstream trip: \n" ); document.write( "Upstream trip: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the times for each trip are equal:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cross multiply: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Distribute: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Collect like terms: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the rate of the current is 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "8mph + 4mph = 12mph, 24m/12mph = 2 hr\r \n" ); document.write( "\n" ); document.write( "8mph - 4mph = 4mph, 8m/4mph = 2 hr\r \n" ); document.write( "\n" ); document.write( "Answer checks \n" ); document.write( " |