document.write( "Question 23139: a boat takes 2 hours longer to go 45 miles up a river than to return. If the boat's speed in still water is 12 mph, what is the rate of the current.
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document.write( "Can you please show you step this time. \n" );
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Algebra.Com's Answer #11607 by stanbon!(97)![]() ![]() ![]() You can put this solution on YOUR website! Downstream Data: distance= 45; rate=12+c; time=45/(12+c) \n" ); document.write( "Upstream Data: distance = 45: rate = 12-c; time= 45/(12-c) \n" ); document.write( "EQUATION: \n" ); document.write( "Time Upstream - Time Downstream = 2 hours \n" ); document.write( " 45/(12-c) - 45/(12+c) = 2 \n" ); document.write( "Divide thru by 45 to get: \n" ); document.write( " 1/(12-c) - 1/(12-c) =2/45 \n" ); document.write( "Simplify : \n" ); document.write( " 45[(12+c)-(12-c)]= 2[(12-c)(12+c)] \n" ); document.write( " 45[2c] =2[144-c^2] \n" ); document.write( " 90c = 288-2c^2 \n" ); document.write( " c^2+45c-144=0 \n" ); document.write( " (c-3)(c+48)=0 \n" ); document.write( " current speed = 3 mph\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |