document.write( "Question 1104699: A boat travels 36 miles with current in 2 hours and 42 miles agents the current in 3 hours find the speed of boat in still water \n" ); document.write( "

Algebra.Com's Answer #719392 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+c+\"$ = the rate of the current in mi/hr
\n" ); document.write( "Let $\"+s+\"$ = the speed of the boat in still water
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Traveling with the current:
\n" ); document.write( "(1) $\"+36+=+%28+s+%2B+c+%29%2A2+\"$
\n" ); document.write( "Traveling against the current:
\n" ); document.write( "(2) $\"+42+=+%28+s+-+c+%29%2A3+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) $\"+2s+%2B+2c+=+36+\"$
\n" ); document.write( "(1) $\"+s+%2B+c+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+3s+-+3c+=+42+\"$
\n" ); document.write( "(2) $\"+s+-+c+=+14+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( " $\"+2s+=+32+\"$
\n" ); document.write( " $\"+s+=+16+\"$
\n" ); document.write( "The speed of the boat in still water is 16 mi/hr
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+s+%2B+c+=+18+\"$
\n" ); document.write( "(1) $\"+16+%2B+c+=+18+\"$
\n" ); document.write( "(1) $\"+c+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+s+-+c+=+14+\"$
\n" ); document.write( "(2) $\"+16+-+c+=+14+\"$
\n" ); document.write( "(2) $\"+c+=+2+\"$
\n" ); document.write( "OK \n" ); document.write( "

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