document.write( "Question 1082577: In Still water, a boat averages 18 miles per hour. It takes the same amount of time to travel 10 miles downstream, with the current. As it does 5 miles Upstream, against the current. What is the rate of the water's current? \n" ); document.write( "
Algebra.Com's Answer #696634 by josmiceli(19441)\"\" \"About 
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Let \"+c+\" = the rate of the current in mi/hr
\n" ); document.write( "\"+18+%2B+c+\" = the rate of the boat going downstream in mi/hr
\n" ); document.write( "\"+18+-+c+\" = the rate of the boat going upstream in mi/hr
\n" ); document.write( "Let \"+t+\" = time in hrs for both upstream and downstream trips
\n" ); document.write( "----------------------------------------------------------
\n" ); document.write( "Going downstream:
\n" ); document.write( "(1) \"+10+=+%28+18+%2B+c+%29%2At+\"
\n" ); document.write( "Going upstream:
\n" ); document.write( "(2) \"+5+=+%28+18+-+c+%29%2At+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+t+=+10+%2F+%28+18+%2B+c+%29+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+5+=+%28+18+-+c+%29%2A%28+10+%2F+%28+18+%2B+c+%29+%29+\"
\n" ); document.write( "(2) \"+5%2A%28+18+%2B+c+%29+=+10%2A%28+18+-+c+%29+\"
\n" ); document.write( "(2) \"+90+%2B+5c+=+180+-+10c+\"
\n" ); document.write( "(2) \"+15c+=+90+\"
\n" ); document.write( "(2) \"+c+=+6+\"
\n" ); document.write( "The rate of thr current is 6 mi/hr
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+t+=+10+%2F+%28+18+%2B+c+%29+\"
\n" ); document.write( "(1) \"+t+=+10+%2F+%28+18+%2B+6+%29+\"
\n" ); document.write( "(1) \"+t+=+10%2F24+\"
\n" ); document.write( "(1) \"+t+=+5%2F12+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+t+=+5+%2F+%28+18+-+c+%29+\"
\n" ); document.write( "(2) \"+t+=+5+%2F+%28+18+-+6+%29+\"
\n" ); document.write( "(2) \"+t+=+5%2F12+\" hrs
\n" ); document.write( "---------------------------
\n" ); document.write( "Note:
\n" ); document.write( "\"+5%2F12%2A60+=+25+\" min
\n" ); document.write( "OK
\n" ); document.write( "
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