document.write( "Question 618025: A tugboat goes 120 miles upstream in 20 hrs. the return trip downstream takes 5 hrs. find the speed of the tugboat without a current and the speed of the current
\n" );
document.write( "The speed of the tugboat is
\n" );
document.write( "The speed of the current is
\n" );
document.write( "simplify your answers \n" );
document.write( "
Algebra.Com's Answer #388760 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! ): A tugboat goes 120 miles upstream in 20 hrs. \n" ); document.write( " the return trip downstream takes 5 hrs. \n" ); document.write( " find the speed of the tugboat without a current and the speed of the current \n" ); document.write( ": \n" ); document.write( "Let s = boat speed in still water \n" ); document.write( "Let c = speed of the current \n" ); document.write( "then \n" ); document.write( "(s-c) = effective speed upstream \n" ); document.write( "and \n" ); document.write( "(s+c) = effective speed downstream \n" ); document.write( ": \n" ); document.write( "Write distance equation for each way. (dist = time * speed \n" ); document.write( "20(s-c) = 120 \n" ); document.write( "5(s+c) = 120 \n" ); document.write( "Simplify both equations, divide the 1st equation by 20, divide the 2nd equation by 5, results: \n" ); document.write( "s - c = 6 \n" ); document.write( "s + c = 24 \n" ); document.write( "-----------Adding eliminates c find s \n" ); document.write( "2s = 30 \n" ); document.write( "s = 30/2 \n" ); document.write( "s = 15 mph boat speed in still water \n" ); document.write( ": \n" ); document.write( "You can find the current, check the solutions in the original equations\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |