document.write( "Question 982496: Hi, here's my question:\r
\n" ); document.write( "\n" ); document.write( "Charlie rows at a constant speed downstream in the river from Amaroo to Bradden in 3 hours and back upstream in 4 hours. Assume the river flows at a constant rate. Find the number of hours it would take a piece of driftwood to float downstream from Amaroo to Bradden.\r
\n" ); document.write( "\n" ); document.write( "Thank you so so much for your help! :D
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Algebra.Com's Answer #603332 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Charlie has a speed due to his rowing and the current,
\n" ); document.write( "but the driftwood only has speed due to the current
\n" ); document.write( "Let \"+s+\" = Charlie's speed without the current
\n" ); document.write( "Let \"+c+\" = the speed of the current
\n" ); document.write( "\"+s+%2B+c+\" = Charlie's speed going downstream
\n" ); document.write( "\"+s+-+c+\" = charlie's speed going upstream
\n" ); document.write( "Let \"+d+\" = distance from Amaroo to Bradden in km
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "Equation for going downstream:
\n" ); document.write( "(1) \"+d+=+%28+s+%2B+c+%29%2A3+\"
\n" ); document.write( "Equation for going upstream:
\n" ); document.write( "(2) \"+d+=+%28+s+-+c+%29%2A4+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(3) \"+%28+s+%2B+c+%29%2A3+=+%28+s+-+c+%29%2A4+\"
\n" ); document.write( "\"+3s+%2B+3c+=+4s+-+4c+\"
\n" ); document.write( "\"+s+=+7c+\"
\n" ); document.write( "--------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "\"+2d+=+7s+-+c+\"
\n" ); document.write( "\"+2d+=+7%2A7c+-+c+\"
\n" ); document.write( "\"+2d+=+48c+\"
\n" ); document.write( "\"+d+=+c%2A%28+24+%29+\"
\n" ); document.write( "--------------------
\n" ); document.write( "It takes 24 hrs for the driftwood to float downstream
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+%28+s+%2B+c+%29%2A3+\"
\n" ); document.write( "(1) \"+d+=+%28+s+%2B+d%2F24+%29%2A3+\"
\n" ); document.write( "(1) \"+d+=+3s+%2B+d%2F8+\"
\n" ); document.write( "(1) \"+%287%2F8%29%2Ad+=+3s+\"
\n" ); document.write( "(1) \"+d+=+s%2A%2824%2F7%29+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+s+-+d%2F24+%29%2A4+\"
\n" ); document.write( "(2) \"+d+=+4s+-+d%2F6+\"
\n" ); document.write( "(2) \"+%287%2F6%29%2Ad+=+4s+\"
\n" ); document.write( "(2) \"+d+=+%286%2F7%29%2A4s+\"
\n" ); document.write( "(2) \"+d+=+s%2A%2824%2F7%29+\"
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it!
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