document.write( "Question 827271: a streamer,going downstream in a river, covers the distance between 2 towns in 15 hrs. coming backbupstream, it covers this distance in 20 hrs. the speed of the water is 3 km/hr. find the distance between two towns. \n" ); document.write( "
Algebra.Com's Answer #498635 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! Set x = speed without current \n" ); document.write( "set d = distance \n" ); document.write( "Going downstream \n" ); document.write( " rate * time = distance\r \n" ); document.write( "\n" ); document.write( " (x+3)15 = d so 15x + 45 = d \n" ); document.write( " (x-3)20 = d, 20x - 60 = d \n" ); document.write( "Since 15x + 45 = d and 20x - 60 = d \n" ); document.write( " 15x + 45 = 20x - 60 \n" ); document.write( "subtract 15x from each side \n" ); document.write( " 45 = 5x - 60 \n" ); document.write( "add 60 to each side \n" ); document.write( " 105 = 5x \n" ); document.write( "divide 5 by each side \n" ); document.write( " 21 = x \n" ); document.write( "substitute 21 for x in (x+3)15 = d \n" ); document.write( " (21+3)(15) = d \n" ); document.write( " (24)(15) = d \n" ); document.write( " d = 360 \n" ); document.write( " \n" ); document.write( " |