document.write( "Question 276870: A boat traveled 16 miles down a river and then returned. The total time for the round trip was 6 hours, and the rate of the boat instill water is 6 mph. Find the rate of the current. \n" ); document.write( "
Algebra.Com's Answer #201714 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
A boat traveled 16 miles down a river and then returned. The total time for the round trip was 6 hours, and the rate of the boat instill water is 6 mph. Find the rate of the current.\r
\n" ); document.write( "\n" ); document.write( "Let the speed of the current be x\r
\n" ); document.write( "\n" ); document.write( "down the river its speed will be 6+x . Time taken = 16/ 6-x hours\r
\n" ); document.write( "\n" ); document.write( "against the flow the speed will be 6-x. Time taken = 16/ 6-x hours\r
\n" ); document.write( "\n" ); document.write( "Time taken down the river + time taken up the river = 6
\n" ); document.write( "16/ 6-x + 16/ 6+x = 6\r
\n" ); document.write( "\n" ); document.write( "96-16x+96+16x / (6+x)(6-x) = 6\r
\n" ); document.write( "\n" ); document.write( "192 = 6* (36-x^2)\r
\n" ); document.write( "\n" ); document.write( "192=216 - 6x^2\r
\n" ); document.write( "\n" ); document.write( "192-216= 6x^2\r
\n" ); document.write( "\n" ); document.write( "-24 = 6x^2\r
\n" ); document.write( "\n" ); document.write( "x^2 -= -24/-6\r
\n" ); document.write( "\n" ); document.write( "x^2=4\r
\n" ); document.write( "\n" ); document.write( "x=2 the rate of the current\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );