document.write( "Question 1154220: A boat can travel 44 mph in still water. If it travels 147 miles with the current in the same length of time it travels 117 miles against the current, what is the speed of the current? \n" ); document.write( "

Algebra.Com's Answer #776619 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = the speed of the current in mi/hr
\n" ); document.write( "Let $\"+t+\"$ = time for both trips in mi/hr
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "(1) $\"+147+=+%28+44+%2B+c+%29%2At+\"$
\n" ); document.write( "(2) $\"+117+=+%28+44+-+c+%29%2At+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "Add the equations:
\n" ); document.write( "(1) $\"+147+=+44t+%2B+c%2At++\"$
\n" ); document.write( "(2) $\"+117+=+44t+-+c%2At++\"$
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"+264+=+88t+\"$
\n" ); document.write( " $\"+t+=+3+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Plug this result back into (1) or (2)
\n" ); document.write( "(1) $\"+147+=+%28+44+%2B+c+%29%2At+\"$
\n" ); document.write( "(1) $\"+147+=+%28+44+%2B+c+%29%2A3+\"$
\n" ); document.write( "(1) $\"+49+=+44+%2B+c+\"$
\n" ); document.write( "(1) $\"+c+=+5+\"$
\n" ); document.write( "The current is 5 mi/hr
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+117+=+%28+44+-+c+%29%2At+\"$
\n" ); document.write( "(2) $\"+117+=+%28+44+-+5+%29%2A3+\"$
\n" ); document.write( "(2) $\"+117+=+39%2A3+\"$
\n" ); document.write( "(2) $\"+117+=+117+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );