document.write( "Question 1008924: The sped of the current in the Mississippi River is 5mph. A boat travels downstream 26 miles and returns in a total of 32/3 hours. What is the speed of the boat in still water.\r
\n" ); document.write( "\n" ); document.write( "Any help is desperately needed as soon as possible.
\n" ); document.write( "

Algebra.Com's Answer #624522 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the boat in still water
\n" ); document.write( "\"+s+%2B+5+\" = the speed of the boat going downstream
\n" ); document.write( "\"+s+-+5+\" = the speed of the boat going upstream
\n" ); document.write( "Let \"+t+\" = time in hrs for the boat to go downstream
\n" ); document.write( "\"+11%2F3+-+t+\" = time in hrs for the boat to go upstream\r
\n" ); document.write( "\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Equation for going downstream:
\n" ); document.write( "(1) \"+26+=+%28+s%2B5+%29%2At+\"
\n" ); document.write( "Equation for going upstream:
\n" ); document.write( "(2) \"+26+=+%28+s-5+%29%2A%28+11%2F3+-+t+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+26+=+%2811%2F3%29%2As+-+55%2F3+-+s%2At+%2B+5t+\"
\n" ); document.write( "(2) \"+26+=+%2811%2F3%29%2As+-+55%2F3+-+%28+s+-+5+%29%2At+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+t+=+26%2F+%28+s%2B5+%29+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+26+=+%2811%2F3%29%2As+-+55%2F3+-+%28+s+-+5+%29%2A%28+26%2F%28+s%2B5+%29+%29+\"
\n" ); document.write( "Multiply both sides by \"+3%2A+%28+s+%2B+5+%29+\"
\n" ); document.write( "(2) \"+78%2A%28+s%2B5+%29+=+11s%2A%28+s%2B5+%29+-+55%2A%28+s%2B5+%29+-78%2A%28+s-5+%29+\"
\n" ); document.write( "(2) \"+78s+%2B+390+=+11s%5E2+%2B+55s+-+55s+-+275+-+78s+%2B+390+\"
\n" ); document.write( "(2) \"+11s%5E2+-+156s+-+275+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+s+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+11+\"
\n" ); document.write( "\"+b+=+-156+\"
\n" ); document.write( "\"+c+=+-275+\"
\n" ); document.write( "
\n" ); document.write( "\"+s+=+%28+156+%2B-+sqrt%28+24336+%2B+12100+%29%29+%2F+22+\"
\n" ); document.write( "\"+s+=+%28+156+%2B-+sqrt%28+36436+%29%29+%2F+22+\"
\n" ); document.write( "\"+s+=+%28+156+%2B+190.882+%29+%2F+22+\"
\n" ); document.write( "\"+s+=+15.767+\" mi/hr
\n" ); document.write( "The speed of the boat in still water is 15.767 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+26+=+%28+s%2B5+%29%2At+\"
\n" ); document.write( "(1) \"+26+=+%28+15.767%2B5+%29%2At+\"
\n" ); document.write( "(1) \"+26+=+20.767t+\"
\n" ); document.write( "(1) \"+t+=+1.252+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+26+=+%28+s-5+%29%2A%28+11%2F3+-+t+%29+\"
\n" ); document.write( "(2) \"+26+=+%28+15.767-5+%29%2A%28+11%2F3+-+t+%29+\"
\n" ); document.write( "(2) \"+11%2F3+-+t+=+26%2F10.767+\"
\n" ); document.write( "(2) \"+3.667+-+t+=+2.415+\"
\n" ); document.write( "(2) \"+t+=+1.252+\"
\n" ); document.write( "OK
\n" ); document.write( "This seems to check out -you could still get
\n" ); document.write( "another opinion, but I think my method is OK
\n" ); document.write( "
\n" );