document.write( "Question 1081853: A boat travels upstream in two rivers A and B. the velocity of the current in river A is 3kph while that of B is 1kph.It takes two times longer to travel 18km in river A than it took to travel 10km in river B. Calculate the speed of the boat in still water. \n" ); document.write( "
Algebra.Com's Answer #695936 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the boat in still water in km/hr
\n" ); document.write( "Let \"+t+\" = time in hrs to travel 10 km in river B
\n" ); document.write( "\"+2t+\" = time in hrs to travel 18 km in river A
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "Equation for going upstream in river A:
\n" ); document.write( "(1) \"+18+=+%28+s+-+3+%29%2A2t+\"
\n" ); document.write( "Equation for going upstream in river B:
\n" ); document.write( "(2) \"+10+=+%28+s+-+1+%29%2At+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+t+=+10%2F%28+s+-+1+%29+\"
\n" ); document.write( "Plug this result into (1)
\n" ); document.write( "(1) \"+18+=+%28+s+-+3+%29%2A2%2A%28+10%2F%28+s+-+1+%29%29+\"
\n" ); document.write( "(1) \"+18%2A%28+s+-+1+%29+=+20%2A%28+s+-+3+%29+\"
\n" ); document.write( "(1) \"+18s+-+18+=+20s+-+60+\"
\n" ); document.write( "(1) \"+2s+=+42+\"
\n" ); document.write( "(1) \"+s+=+21+\"
\n" ); document.write( "The speed of the boat in still water is 21 km/hr
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+18+=+%28+s+-+3+%29%2A2t+\"
\n" ); document.write( "(1) \"+18+=+%28+21+-+3+%29%2A2t+\"
\n" ); document.write( "(1) \"+18+=+18%2A2t+\"
\n" ); document.write( "(1) \"+t+=+.5+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+10+=+%28+s+-+1+%29%2At+\"
\n" ); document.write( "(2) \"+10+=+%28+21+-+1+%29%2At+\"
\n" ); document.write( "(2) \"+10+=+20t+\"
\n" ); document.write( "(2) \"+t+=+.5+\" hrs
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );