document.write( "Question 831570: Two fishing boats depart a harbor at the same time, one traveling east, the other south. The eastbound boat travels at a speed 7 mi/h faster than the southbound boat. After two hours the boats are 34 mi apart. Find the speed of the southbound boat.\r
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Algebra.Com's Answer #697731 by adamhen894(15)![]() ![]() ![]() You can put this solution on YOUR website! for the eastbound boat, \n" ); document.write( " distance:2(x+7) mile \n" ); document.write( " speed:(x+7)mi/h \n" ); document.write( " time: 2h \n" ); document.write( "for the southbound boat, \n" ); document.write( " distance: 2x mile \n" ); document.write( " speed: x mi/h \n" ); document.write( " time: 2 h \r \n" ); document.write( "\n" ); document.write( "it's a right triangle problem, the hypotenuse is 34 miles apart. \n" ); document.write( "now you can set up the equation using Pythagorean theorem,\r \n" ); document.write( "\n" ); document.write( "(2x)^2+(2x+14)^2=34^2 \n" ); document.write( "using quadratic equation to solve for x, \n" ); document.write( "you get x = 8 \n" ); document.write( "which is speed (mi/h) of southbound boat.\r \n" ); document.write( "\n" ); document.write( "let me know if you have any questions, adamchen894@gmail.com \n" ); document.write( " |