document.write( "Question 1055078: The speed of a stream is 5 mph. A boat travels 2 miles upstream in the same time it takes to travel 12 miles downstream. What is the speed of the boat in still​ water? \n" ); document.write( "
Algebra.Com's Answer #670273 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the speed of the boat in still water
\n" ); document.write( "\"+s+-+5+\" = the speed of the boat going upstream
\n" ); document.write( "\"+s+%2B+5+\" = the speed of the boat going downstream
\n" ); document.write( "Let \"+t+\" = time in hrs for traveling both upstream and downstream
\n" ); document.write( "--------------------------------
\n" ); document.write( "equation for going upstream:
\n" ); document.write( "(1) \"+2+=+%28+s-5+%29%2At+\"
\n" ); document.write( "equation for going downstream:
\n" ); document.write( "(2) \"+12+=+%28+s+%2B+5+%29%2At+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) \"+t+=+2%2F%28+s-5+%29+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+12+=+%28+s%2B5+%29%2A%28+2%2F%28+s-5+%29%29+\"
\n" ); document.write( "(2) \"+12%2A%28+s-5+%29+=+2%2A%28+s%2B5+%29+\"
\n" ); document.write( "(2) \"+12s+-+60+=+2s+%2B+10+\"
\n" ); document.write( "(2) \"+10s+=+70+\"
\n" ); document.write( "(2) \"+s+=+7+\"
\n" ); document.write( "The speed of the boat is still water is 7 mi/hr
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+2+=+%28+s-5+%29%2At+\"
\n" ); document.write( "(1) \"+2+=+%28+7-5+%29%2At+\"
\n" ); document.write( "(1) \"+2+=+2t+\"
\n" ); document.write( "(1) \"+t+=+1+\" hr
\n" ); document.write( "and
\n" ); document.write( "(2) \"+12+=+%28+s+%2B+5+%29%2At+\"
\n" ); document.write( "(2) \"+12+=+%28+7+%2B+5+%29%2At+\"
\n" ); document.write( "(2) \"+12+=+12t+\"
\n" ); document.write( "(2) \"+t+=+1+\" hr
\n" ); document.write( "OK\r
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