document.write( "Question 864811: the current of a stream moves at 5 mph. a boat travels 31 mi upstream and 31 mi down stream in a total time if 20 hours what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #521306 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! the current of a stream moves at 5 mph. a boat travels 31 mi upstream and 31 mi down stream in a total time if 20 hours what is the speed of the boat in still water? \n" ); document.write( "*** \n" ); document.write( "let x=speed of boat in still water. \n" ); document.write( "x+5=speed of boat downstream. \n" ); document.write( "x-5=speed of boat upstream. \n" ); document.write( "travel time=distance/speed \n" ); document.write( " \n" ); document.write( "LCD:(x+5)(x-5) \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "20x^2-62x-500=0 \n" ); document.write( "10x^2-31x-250=0 \n" ); document.write( "solve for x by quadratic formula: \n" ); document.write( "a=10, b=-31, c=-250 \n" ); document.write( "ans: \n" ); document.write( "x≈6.78 \n" ); document.write( "speed of the boat in still water? 6.78 mph \n" ); document.write( " |