document.write( "Question 1149799: the speed of a boat in still water is 15 km/hr. it needs four
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document.write( "more hours to travel 63 km against the current of a river
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document.write( "than it needs to travel down the river. Determine the speed
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document.write( " of the current of the river.\r
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Algebra.Com's Answer #771146 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! d=v*t \n" ); document.write( "63=(15+c)*t where c is current speed \n" ); document.write( "t=63/(15+c) \n" ); document.write( "and \n" ); document.write( "63=(15-c)(t+4) \n" ); document.write( "and t=[63/(15-c)]-4, which is (4c+3)/(15-c), from putting -4 over 15-c and getting -60+4c \n" ); document.write( "those t s are equal \n" ); document.write( "cross-multiply and get 2c^2+63c-450=0 \n" ); document.write( "and this is (2c+75)(c-6)=0 \n" ); document.write( "positive root is c=6 kph current\r \n" ); document.write( "\n" ); document.write( "this would be 21 kph downstream and 3 hours to do 63 km and 9 kph upstream, which takes 7 hours. \n" ); document.write( " |