document.write( "Question 939724: A boat travels 45 kms. upstream and then returns to the dock traveling 45 kilometers downstream. The speed of the boat in still water is 12 km/hr. The total time for the trip is 8 hours. Find the speed of the current.\r
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document.write( "I got the answer to be the current = 3 km/hr. Is this correct?
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #572673 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A boat travels 45 kms. upstream and then returns to the dock traveling 45 kilometers downstream. The speed of the boat in still water is 12 km/hr. The total time for the trip is 8 hours. Find the speed of the current. \n" ); document.write( "*** \n" ); document.write( "let c=speed of current \n" ); document.write( "12+c=speed of boat downstream \n" ); document.write( "12-c=speed of boat upstream \n" ); document.write( "Travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( "lcd:(12-c)(12+c) \n" ); document.write( "45(12-c)+45(12+c)=8(12-c)(12+c) \n" ); document.write( "540-45c+540+45c=8(12^2-c^2) \n" ); document.write( "1080=8(144-c^2) \n" ); document.write( "1080=1152-8c^2 \n" ); document.write( "8c^2=72 \n" ); document.write( "c^2=9 \n" ); document.write( "c=3 \n" ); document.write( "speed of current=3 km/hr \n" ); document.write( "congratulations! You got it right. \n" ); document.write( " |