document.write( "Question 176977: A boat on the Hudson River travels the same distance in 1/2 hour downstream as it can going upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?\r
\n" ); document.write( "\n" ); document.write( "Please help! There are no examples like this one in the book.
\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #132025 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A boat on the Hudson River travels the same distance in 1/2 hour downstream as it can going upstream for an hour. If the boat travels 12 mph in still water, what is the speed of the current?
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Downstream DATA:
\n" ); document.write( "time = 1/2 hr ; rate = (12+c) mph ; distance = rt = (1/2)(12+c) = 6 + c/2 miles
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Upstream DATA:
\n" ); document.write( "time = 1 hr ; rate = (12-c) mph ; distance = rt = 1(12-c) mph
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "distance up = distance down
\n" ); document.write( "6 + c/2 = 12 - c
\n" ); document.write( "(3/2)c = 6
\n" ); document.write( "c = 4 mph (speed of the current)
\n" ); document.write( "====================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );