document.write( "Question 188529: A boat took one hour and 50 minutes to go 55km downstream and 3 hours, 40 minutes to return. Find the boat's rate in still water and the rate of the current \r
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document.write( "answer: the rate of the boat in still water is 22 1/2 mph; the rate of the current is 7 1/2 mph.\r
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document.write( "need a full break down of how my text book got this answer \n" );
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Algebra.Com's Answer #141356 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat took one hour and 50 minutes to go 55km downstream and 3 hours, 40 minutes to return. Find the boat's rate in still water and the rate of the current \n" ); document.write( "------------------ \n" ); document.write( "1 hr = 6/6 hr ; 50 minutes = 5/6 hr ; So 1 hr 50 = 11/6 hr \n" ); document.write( "3 hrs = 9/3 hr ; 40 minutes = 2/3 hr ; So 3 hr 40 min = 11/3 hr \n" ); document.write( "-------------------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 55 km ; time = (11/6) hr. ; rate = d/t = 55/(11/6) = 30 kph \n" ); document.write( "-------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 55 km ; time = (11/3) hr. ; rate = d/t = 55/(11/3) = 15 kph \n" ); document.write( "---------------------- \n" ); document.write( "Equations: \n" ); document.write( "b + c = 30 kph \n" ); document.write( "b - c = 15 kph \n" ); document.write( "------------------ \n" ); document.write( "Add to solve for \"b\": \n" ); document.write( "2b = 45 kph \n" ); document.write( "b = 22.5 kph (speed of the boat in still water) \n" ); document.write( "--- \n" ); document.write( "Substitute to solve for \"c\": \n" ); document.write( "22.5 + c = 30 \n" ); document.write( "c = 30-22.5 = 7.5 kph ( speed of the current) \n" ); document.write( "=================================================== \n" ); document.write( "Cheers, \n" ); document.write( "San H. \n" ); document.write( " |