document.write( "Question 882368: Can you help me set up a rational equation to solve this word problem algebraically please?\r
\n" ); document.write( "\n" ); document.write( "If a boat goes downstream 78 miles in 3 1/4 hours and upstream 72 miles in 7 1/5 hours. Find the speed of the boat in still water and the speed of the current.\r
\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #532805 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( "Let \"+c+\" = the speed of the current
\n" ); document.write( "\"+s+%2B+c+\" = the speed of the boat going downstream
\n" ); document.write( "\"+s+-+c+\" = the speed of the boat going upstream
\n" ); document.write( "---------------------------------------------
\n" ); document.write( "(1) \"+78+=+%28+s+%2B+c+%29%2A3.25+\"
\n" ); document.write( "(2) \"+72+=+%28+s+-+c+%29%2A7.2+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) \"+s+%2B+c+=+24+\"
\n" ); document.write( "(2) \"+s+-+c+=+10+\"
\n" ); document.write( "Add the equations
\n" ); document.write( "\"+2s+=+34+\"
\n" ); document.write( "\"+s+=+17+\"
\n" ); document.write( "and, since
\n" ); document.write( "(2) \"+s+-+c+=+10+\"
\n" ); document.write( "(2) \"+c+=+s+-+10+\"
\n" ); document.write( "(2) \"+c+=+17+-+10+\"
\n" ); document.write( "(2) \"+c+=+7+\"
\n" ); document.write( "The speed of the boat in still water is 17 mi/hr
\n" ); document.write( "The speed of the current is 7 mi/hr
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+78+=+%28+s+%2B+c+%29%2A3.25+\"
\n" ); document.write( "(1) \"+78+=+%28+17+%2B+7+%29%2A3.25+\"
\n" ); document.write( "(1) \"+78+=+24%2A3.25+\"
\n" ); document.write( "(1) \"+78+=+78+\"
\n" ); document.write( "You can check other equation\r
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