document.write( "Question 799778: Two fishing boats depart a harbor at the same time, one traveling east, the other south. The eastbound boat travels at a speed 3 mi/h faster that than the southbound boat. After two hours the boats are 30 mi apart. Find the speed of the southbound boat.
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document.write( "I started to set up the equation but am having trouble. I am not sure what to put in the equation for time and is 30 mi the correct number for distance? This is what I have so far.
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document.write( "Boat 1 rate: x+3
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document.write( "Boat 2 rate: x \n" );
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Algebra.Com's Answer #482839 by richwmiller(17219) You can put this solution on YOUR website! we are forming a right triangle with the hypotenuse the distance apart of the boats. \n" ); document.write( "the time is 2 hours \n" ); document.write( "2*(x+3) distance of the eastbound boat \n" ); document.write( "2x distance of the southbound boat \n" ); document.write( "(2x)^2+ (2x+6)^2=30^2 \n" ); document.write( "4x^2+4x^2+24x+36=900 \n" ); document.write( "8x^2+24x+36 = 900 \n" ); document.write( "8x^2+24x-864 = 0 \n" ); document.write( "x=9 speed of the south bound boat\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |