document.write( "Question 1064441: a motorboat can maintain a constant speed of 35 miles per hour relative to the water. the boat makes a trip upstream to a certain point in 30 minutes; the return trip takes 20 minutes. what is the soeed of the current? \n" ); document.write( "
Algebra.Com's Answer #679494 by josmiceli(19441)\"\" \"About 
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\"+35+\" mi/hr is the speed without a current
\n" ); document.write( "The 2 trips each have the same distance, \"+d+\" in miles
\n" ); document.write( "Let \"+cv+\" = the speed of the current in mi/hr
\n" ); document.write( "-------------------------
\n" ); document.write( "Boat going upstream:
\n" ); document.write( "(1) \"+d+=+%28+35+-+c+%29%2A%2830%2F60%29+\"
\n" ); document.write( "Boat going downstream:
\n" ); document.write( "(2) \"+d+=+%28+35+%2B+c+%29%2A%2820%2F60%29+\"
\n" ); document.write( "( note that I converted minutes to hours )
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+d+=+%28+35+-+c+%29%2A%281%2F2%29+\"
\n" ); document.write( "(1) \"+2d+=+35+-+c+\"
\n" ); document.write( "(1) \"+2d+%2B+c+=+35+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+35+%2B+c+%29%2A%281%2F3%29+\"
\n" ); document.write( "(2) \"+3d+=+35+%2B+c+\"
\n" ); document.write( "(2) \"+3d+-+c+=+35+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) \"+2d+%2B+c+=+35+\"
\n" ); document.write( "(2) \"+3d+-+c+=+35+\"
\n" ); document.write( "--------------------
\n" ); document.write( "\"+5d+=+70+\"
\n" ); document.write( "\"+d+=+14+\"
\n" ); document.write( "--------------------
\n" ); document.write( "(1) \"+2d+%2B+c+=+35+\"
\n" ); document.write( "(1) \"+2%2A14+%2B+c+=+35+\"
\n" ); document.write( "(1) \"+28+%2B+c+=+35+\"
\n" ); document.write( "(1) \"+c+=+7+\"
\n" ); document.write( "The speed of the current is 7 mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+%28+35+-+c+%29%2A%281%2F2%29+\"
\n" ); document.write( "(1) \"+14+=+%28+35+-+7+%29%2A%281%2F2%29+\"
\n" ); document.write( "(1) \"+14+=+28%2F2+\"
\n" ); document.write( "(1) \"+14+=+14+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+35+%2B+c+%29%2A%281%2F3%29+\"
\n" ); document.write( "(2) \"+14+=+%28+35+%2B+7+%29%2A%281%2F3%29+\"
\n" ); document.write( "(2) \"+14+=+42%2F3+\"
\n" ); document.write( "(2) \"+14+=+14+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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