document.write( "Question 170692: A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current.\r
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document.write( "Help, no idea.\r
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #126019 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A sailboat travels 20 miles downstream in 3 hours. It returns in 4 hours. Find the speed of the sailboat in still water and the rate of the current. \n" ); document.write( "---------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 20 miles; time = 3 hrs. ;rate = d/t = 20/3 mph \n" ); document.write( "--------------------------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 20 miles; time = 4 hrs. ;rate = d/t = 20/4 = 5 mph \n" ); document.write( "----------------------------------------- \n" ); document.write( "Let still water speed be \"b\"; Let current speed be \"c\" \n" ); document.write( "Downstream: b + c = 20/3 mph \n" ); document.write( "Upstream : b - c = 5 \n" ); document.write( "---------------------- \n" ); document.write( "2b = 35/3 \n" ); document.write( "b = 35/6 = 5 4/6 mph (boat speed in still water) \n" ); document.write( "------- \n" ); document.write( "Use b -c = 5 to solve for \"c\". \n" ); document.write( "35/6 - c = 30/6 \n" ); document.write( "c = 5/6 mph (current speed) \n" ); document.write( "================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |