document.write( "Question 1008544: Kate can row a boat 12 miles per hour in still water. in a river where the current is 6 miler per hour, it take her 5 hour longer to row a given distance upstream than to travel the same distance downstream. Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows.\r
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document.write( "Please help me to solve. Algebra 2.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #624173 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Kate can row a boat 12 miles per hour in still water. \n" ); document.write( "in a river where the current is 6 miler per hour, \n" ); document.write( "it takes her 5 hour longer to row a given distance upstream than to travel the same distance downstream. \n" ); document.write( "--------- \r \n" ); document.write( "\n" ); document.write( "Find how long it takes her to row upstream, how long to row downstream, and how many miles she rows. \n" ); document.write( "----------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "rate = 12-6 = 6 mph ; distance = x miles ; time = x/6 mph \n" ); document.write( "----------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "rate = 12 + 6 = 18 mph ; distance = x miles ; time = x/18 mph \n" ); document.write( "----------- \n" ); document.write( "Equation: \n" ); document.write( "x/6 + x/18 = 5 hrs \n" ); document.write( "3x + x = 90 \n" ); document.write( "4x = 90 \n" ); document.write( "x = 22.5 miles (distance) \n" ); document.write( "time upstream = 22.5/6 = 3 3/4 hours \n" ); document.write( "time downstream = 22.5/18 = 1 1/4 hours \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " |