document.write( "Question 750544: A boat takes 8 hours to go 6 miles upstream and come back to the starting point. If the speed of the boat is 4 miles per hour in still water, what is the rate of the current? \n" ); document.write( "
Algebra.Com's Answer #456684 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat takes 8 hours to go 6 miles upstream and come back to the starting point. If the speed of the boat is 4 miles per hour in still water, what is the rate of the current? \n" ); document.write( "------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "time = x hrs ; distance = 6 miles ; rate = d/t = 6/x hrs \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "time = 8-x hrs ; distance = 6 miles ; rate = d/t = 6/(8-x) \n" ); document.write( "-------- \n" ); document.write( "Equation: \n" ); document.write( "Upstream Rate Eq::: 4-c = 6/x \n" ); document.write( "Downstream Rt Eq::: 4+c = 6/(8-x) \n" ); document.write( "---------------- \n" ); document.write( "Add to solve for \"x\": \n" ); document.write( "8 = (6/x)+(6/(8-x)) \n" ); document.write( "----- \n" ); document.write( "8x(8-x) = 6(8-x) + 6x \n" ); document.write( "----- \n" ); document.write( "64x - 8x^2 = 48 \n" ); document.write( "--- \n" ); document.write( "x^2 - 8x + 48 = 0 \n" ); document.write( "----- \n" ); document.write( "No Real Number solution. \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |