document.write( "Question 937773: A cruise ship left Port 37 and traveled south. A submarine left nine hours later traveling 18 mph faster in an effort to catch up to it. After five hours the submarine finally caught up. Find the submarine's average speed. \n" ); document.write( "
Algebra.Com's Answer #571187 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the cruise ship in mi/hr
\n" ); document.write( "\"+9s+\" = the cruise ship's head start in miles
\n" ); document.write( "\"+s+%2B+18+\" = the speed of the submarine in mi/hr
\n" ); document.write( "Let \"+d+\" = distance in miles that the submarine travels
\n" ); document.write( "until it catches the cruise ship
\n" ); document.write( "--------------------------
\n" ); document.write( "Start measuring time in hrs when submarine leaves
\n" ); document.write( "Cruise ship's equation:
\n" ); document.write( "(1) \"+d+-+9s+=+s%2A5+\"
\n" ); document.write( "Submarine's equation:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+18+%29%2A5+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+%28+s+%2B+18+%29%2A5+-+9s+=+s%2A5+\"
\n" ); document.write( "(1) \"+5s+%2B+90+-+9s+=+5s+\"
\n" ); document.write( "(1) \"+9s+=+90+\"
\n" ); document.write( "(1) \"+s+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+%2B+18+=+10+%2B+18+\"
\n" ); document.write( "\"+s+%2B+18+=+28+\"
\n" ); document.write( "The submarine's average speed was 28 mi/hr
\n" ); document.write( "---------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+d+=+%28+10+%2B+18+%29%2A5+\"
\n" ); document.write( "(2) \"+d+=+28%2A5+\"
\n" ); document.write( "(2) \"+d+=+140+\" mi
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+9s+=+s%2A5+\"
\n" ); document.write( "(1) \"+d+-+9%2A10+=+10%2A5+\"
\n" ); document.write( "(1) \"+d+=+90+%2B+50+\"
\n" ); document.write( "(1) \"+d+=+140+\" mi
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );