document.write( "Question 940666: The current of a river is 5 miles per hour. A boat travels between two points on the river. If it takes 2 hours to travel in one direction and 5/2 hours to travel in the other direction, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #573275 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The current of a river is 5 miles per hour. A boat travels between two points on the river. If it takes 2 hours to travel in one direction and 5/2 hours to travel in the other direction, what is the speed of the boat in still water? \n" ); document.write( "------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = x miles ; time = 2 hrs ; rate = x/2 mph \n" ); document.write( "------ \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = x miles ; time = 5/2 hrs ; rate = x/(5/2) mph \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "Down:: b + 5 = x/2 \n" ); document.write( "Up:::: b - 5 = (2x)/5 \n" ); document.write( "------- \n" ); document.write( "Subtract and solve for \"x\":: \n" ); document.write( "(x/2)-(2x/5) = 10 \n" ); document.write( "Multiply thru by 10 to get: \n" ); document.write( "5x - 4x = 100 \n" ); document.write( "x = 100 miles \n" ); document.write( "---- \n" ); document.write( "Ans: Solve for \"b\":: \n" ); document.write( "b + 5 = x/2 \n" ); document.write( "b + 5 = 50 \n" ); document.write( "boat speed = 45 mph \n" ); document.write( "======================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |