document.write( "Question 938631: A boat is traveling in a river with a current that has a speed of 1.5km/h. In one hour the boat can travel twice the distance downstream as it can travel upstream. What's the boats speed in still water? \n" ); document.write( "
Algebra.Com's Answer #571826 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat is traveling in a river with a current that has a speed of 1.5km/h. In one hour the boat can travel twice the distance downstream as it can travel upstream. What's the boats speed in still water? \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 1 hr ; distance = 2x km ; rate = d/t = 2x km/hr \n" ); document.write( "--------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = 1 hr ; distance = x km ; rate = x km/hr \n" ); document.write( "--------------- \n" ); document.write( "Equations: \n" ); document.write( "Dowmstream:: b + 1.5 = 2x km/hr \n" ); document.write( "Upstream:::: b - 1.5 = x km/hr \n" ); document.write( "--------------------- \n" ); document.write( "Subtract and solve for \"x\":: \n" ); document.write( "3 = x \n" ); document.write( "x = 3 \n" ); document.write( "--- \n" ); document.write( "solve for \"b\":: \n" ); document.write( "b - 1.5 = 3 \n" ); document.write( "b = 4.5 km/hr (speed of the boat in still water) \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------- \n" ); document.write( " |