document.write( "Question 169934: A boat can travel 36 mmiles downstream in 2 hours. Coming back upstream the trip takes 3 hours. Find the rate of the boat in still water and the rate of the current.
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document.write( "b be average speed of boat,
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document.write( "c = average current.
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document.write( "gives
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document.write( "2(b+c)= 36
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document.write( "3(b-c)= 36
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document.write( "expanding
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document.write( "..
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document.write( "2b+2c=36....divide by 2, b+c=18 giving 3b+3c=54
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document.write( "3b-3c=36..given
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document.write( "3b+3c=54...eqn 1
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document.write( "3b-3c=36...eqn 2
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document.write( "subtract eqn 2 from 1
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document.write( "6c=18
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document.write( "c=3
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document.write( "b=15\r
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document.write( "Rate of boat = 15 mph
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document.write( "Current = 3mph\r
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Algebra.Com's Answer #125369 by rajagopalan(174)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "b be average speed of boat, \n" ); document.write( "c = average current. \n" ); document.write( "gives \n" ); document.write( "2(b+c)= 36 \n" ); document.write( "3(b-c)= 36 \n" ); document.write( "expanding \n" ); document.write( ".. \n" ); document.write( "2b+2c=36....divide by 2, b+c=18 giving 3b+3c=54 \n" ); document.write( "3b-3c=36..given \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "3b+3c=54...eqn 1 \n" ); document.write( "3b-3c=36...eqn 2 \n" ); document.write( "subtract eqn 2 from 1 \n" ); document.write( "6c=18 \n" ); document.write( "c=3 \n" ); document.write( "b=15 \n" ); document.write( "... \n" ); document.write( "Answer: \n" ); document.write( "Rate of boat = 15 mph \n" ); document.write( "Current = 3mph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |