document.write( "Question 520699: Pratap Puri rowed 18 miles down the Delaware River in 2 hours, but the return trip took him 4 1/2 hours. Find the rate Pratap can row in still water, and find the rate of the current.
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document.write( " Let x= rate Pratap can row in still water and y = rate of the current \r
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document.write( "Downstream x+y
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document.write( "Upstream x-y\r
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document.write( "I think the first one is 2x+y=18\r
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document.write( "I can't figure out the second part. Something like:
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document.write( "x=y-4.5.\r
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Algebra.Com's Answer #346186 by mananth(16946)![]() ![]() You can put this solution on YOUR website! boat speed =x mph \n" ); document.write( "current speed =y mph \n" ); document.write( "against current x-y 4.50 hours \n" ); document.write( "With current x+y 2.00 hours \n" ); document.write( " \n" ); document.write( "Distance = same= 18 miles \n" ); document.write( "t=d/r \n" ); document.write( "18 / ( x - y )= 4.50 \n" ); document.write( "4.5 ( x - y ) = 18.00 \n" ); document.write( "4.5 x -4.5 y = 18 ....................1 \n" ); document.write( "18 / ( x + y )= 2.00 \n" ); document.write( "2.00 ( x + y ) = 18 \n" ); document.write( "2.00 x + 2.00 y = 18 ...............2 \n" ); document.write( "Multiply (1) by 2.00 \n" ); document.write( "Multiply (2) by 4.50 \n" ); document.write( "we get \n" ); document.write( "9 x + -9 y = 36 \n" ); document.write( "9 x + 9 y = 81 \n" ); document.write( "18 x = 117 \n" ); document.write( "/ 18 \n" ); document.write( "x = 6.5 mph \n" ); document.write( " \n" ); document.write( "plug value of x in (1) \n" ); document.write( "4.5 x -4.5 y = 18 \n" ); document.write( "29.25 -4.5 y = 18 \n" ); document.write( "-4.5 y = 18 -29.25 \n" ); document.write( "-4.5 y = -11.25 \n" ); document.write( "y= 2.5 mph \n" ); document.write( "boat 6.5 mph \n" ); document.write( "current 2.5 mph\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |