document.write( "Question 205884: The speed of a boat in still water is 15 km/h. The boat travels 40 km upstream and 40 km downstream in a total of 6 hours. What is the speed of the stream? \n" ); document.write( "
Algebra.Com's Answer #155515 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! time = distance / rate \n" ); document.write( "total time is 6 hrs\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let s=\"speed of stream\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "[40 / (15 + s)] + [40 / (15 - s)] = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by (15 + s)(15 - s) ___ 600 - 40s + 600 + 40s = 1350 - 6s^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = 150 - 6s^2 ___ 0 = 25 - s^2 ___ s = 5 \n" ); document.write( " |