document.write( "Question 373485: Problem: It take 5.5 hours to go 2 miles upstream against the current. It can go 9 miles downstream in the same amount of time.Find the speed of the boat in still water and speed of current.Simplify your answer.\r
\n" ); document.write( "\n" ); document.write( "Here is how far I can get and then I get stuck\r
\n" ); document.write( "\n" ); document.write( "5.5p + 5.5w = 9
\n" ); document.write( "5.5p - 5.5w = 2
\n" ); document.write( "
\n" ); document.write( "5.5p = 18\r
\n" ); document.write( "\n" ); document.write( " 5.5p = 18
\n" ); document.write( " ____ ___
\n" ); document.write( " 5.5 5.5\r
\n" ); document.write( "\n" ); document.write( " p = a fraction\r
\n" ); document.write( "\n" ); document.write( "Normally you would divide the 18 by 5.5 but it does not go evenly and it is a continious decimal and it is asking for the answer in fraction form. What I can not figure out is how they are getting this in to correct (answer) fraction form as well as when figuring the fraction form for w variable \r
\n" ); document.write( "\n" ); document.write( "I know that you are suppose to solve the w variable this but again I am having trouble understanding how they are solving with fractions \r
\n" ); document.write( "\n" ); document.write( "(5.5)times the fraction from p variable + 5.5 = 9
\n" ); document.write( " 5.5w = 2
\n" ); document.write( " w = a fraction\r
\n" ); document.write( "\n" ); document.write( "Can you please help
\n" ); document.write( "Thank you for your time it is truly appreciated!
\n" ); document.write( "Jaimee
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\n" ); document.write( "

Algebra.Com's Answer #265810 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"b\" = the speed of the boat with no current
\n" ); document.write( "Let \"c\" = the speed of the current
\n" ); document.write( "\"b+-+c\" = speed of boat going against current
\n" ); document.write( "\"b+%2B+c\" = speed of boat going with the current
\n" ); document.write( "-------------------
\n" ); document.write( "given:
\n" ); document.write( "\"b+-+c+=+2%2F5.5\"
\n" ); document.write( "\"b+%2B+c+=+9%2F5.5\"
\n" ); document.write( "Now you can just add these equations
\n" ); document.write( "\"2b+=+2%2F5.5+%2B+9%2F5.5\"
\n" ); document.write( "\"2b+=+11%2F5.5\"
\n" ); document.write( "\"b+=+11%2F11\"
\n" ); document.write( "\"b+=+1\"
\n" ); document.write( "and, since
\n" ); document.write( "\"b+%2B+c+=+9%2F5.5\"
\n" ); document.write( "\"c+=+9%2F5.5+-+1\"
\n" ); document.write( "\"c+=+18%2F11+-+11%2F11\"
\n" ); document.write( "\"c+=+7%2F11\"
\n" ); document.write( "The boat in still water goes 1 mi/hr
\n" ); document.write( "The speed of the current is 7/11 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "\"b+-+c+=+2%2F5.5\"
\n" ); document.write( "\"11%2F11+-+7%2F11+=+4%2F11\"
\n" ); document.write( "\"4%2F11+=+4%2F11\"
\n" ); document.write( "and
\n" ); document.write( "\"b+%2B+c+=+9%2F5.5\"
\n" ); document.write( "\"11%2F11+%2B+7%2F11+=+18%2F11\"
\n" ); document.write( "\"18%2F11+=+18%2F11\"
\n" ); document.write( "OK
\n" ); document.write( "
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