document.write( "Question 865689: Hello, I am having a hard time knowing how to set-up and solve this word problem:\r
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document.write( "The Connecticut River flows at a rate of 4km/h for the length of a popular scenic route. In order for a cruiser to travel 60 km upriver and then return in a total of 8hr, how fast must the boat be able to travel in still water?\r
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document.write( "Thanks for your help! \n" );
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Algebra.Com's Answer #521811 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The Connecticut River flows at a rate of 4km/h for the length of a popular scenic route. In order for a cruiser to travel 60 km upriver and then return in a total of 8hr, how fast must the boat be able to travel in still water? \n" ); document.write( "*** \n" ); document.write( "let x=speed of boat in still water \n" ); document.write( "x+4=speed of boat down river \n" ); document.write( "x-4=speed of boat up river \n" ); document.write( "travel time=distance/speed \n" ); document.write( ".. \n" ); document.write( " \n" ); document.write( "LCD:(x-4)(x+4) \n" ); document.write( "60(x+4)+60(x-4)=8(x+4)(x-4) \n" ); document.write( "60x+240+60x-240=8(x^2-16) \n" ); document.write( "120x=8x^2-128 \n" ); document.write( "8x^2-120x-128=0 \n" ); document.write( "x^2-15-16 \n" ); document.write( "(x-16)(x+1)=0 \n" ); document.write( "x=-1 (reject, x>0) \n" ); document.write( "or \n" ); document.write( "x=16 \n" ); document.write( "how fast must the boat be able to travel in still water? 16 km/h \n" ); document.write( " |