document.write( "Question 359421: A boat cruises 36 miles against a 3 mph current and 36miles back in the direction of the same current. The round trip takes 5 hours. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #256463 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A boat cruises 36 miles against a 3 mph current and 36miles back in the direction of the same current. The round trip takes 5 hours. What is the speed of the boat in still water? \n" ); document.write( ".. \n" ); document.write( "let speed of boat in still water be xmph \n" ); document.write( "upstream speed = x-3 \n" ); document.write( "downstream speed = x+3 \n" ); document.write( ".. \n" ); document.write( "time = distance /speed \n" ); document.write( "36/(x-3)+36/(x+3)=5 \n" ); document.write( "36(x+3)+36(x-3)=5(x^2-9) \n" ); document.write( "36x+108+36x-108=5x^2-45 \n" ); document.write( "5x^2-72x-45=0 \n" ); document.write( "5x^2-75x+3x-45=0 \n" ); document.write( "5x(x-15)+3(x-15)=0 \n" ); document.write( "(5x+3)(x-15)=0 \n" ); document.write( "x= 15 mph --- speed of boat in still water \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |