document.write( "Question 564723: 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 then the southbound boat. after two hours the boats are 30 mi apart. find the speed of the southbound boat \n" ); document.write( "
Algebra.Com's Answer #365456 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
they are travelling at right angles to each other.
\n" ); document.write( "At any given instant they form a right triangle with their starting point
\n" ); document.write( "
\n" ); document.write( "speed of DISABLED_event_one= x South bound
\n" ); document.write( " other speed = x+3 East bound \r
\n" ); document.write( "\n" ); document.write( "after two hours
\n" ); document.write( "they will be 2x & 2(x+3) miles away from the starting point\r
\n" ); document.write( "\n" ); document.write( "(2x)^2+(2(x+3))^2=900
\n" ); document.write( "4x^2+(2x+6)^2=900\r
\n" ); document.write( "\n" ); document.write( "4x^2+4x^2+24x+36=900\r
\n" ); document.write( "\n" ); document.write( "8x^2+24x-864=0
\n" ); document.write( "/8
\n" ); document.write( "x^2+3x-108=0
\n" ); document.write( "x^2+12x-9x-108=0
\n" ); document.write( "x(x+12)-9(x+12)=0
\n" ); document.write( "(x+12)(x-9)=0
\n" ); document.write( "take the postive value
\n" ); document.write( "x= 9 mph the speed of south bound
\n" ); document.write( "12mph east bound \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );