document.write( "Question 696141: A fisherman can row a boat 8 km downstream and return in 100 minutes.If the speed of the stream is 2 km per hour.Find the speed of the stream \n" ); document.write( "
Algebra.Com's Answer #428816 by josmiceli(19441)\"\" \"About 
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I think this should read:
\n" ); document.write( "\"A fisherman can row a boat 8 km downstream and return in 100 minutes.If the speed of the stream is 2 km per hour.Find the speed of the boat in still water.\"
\n" ); document.write( "Am I right? If so,
\n" ); document.write( "Let \"+s+\" = the speed of the boat in still water in km/hr
\n" ); document.write( "Let \"+t+\" = the time to go downstream
\n" ); document.write( "\"+s+%2B+2+\" = fisherman's speed going down stream in km/hr
\n" ); document.write( "\"+s+-+2+\" = fisherman's speed going upstream in km/hr
\n" ); document.write( "Convert \"+100+\" min to hours
\n" ); document.write( "\"+100%2F60+=+5%2F3+\" hrs
\n" ); document.write( "---------------------
\n" ); document.write( "Equation going downstream:
\n" ); document.write( "(1) \"+8+=+%28+s+%2B+2+%29%2At+\"
\n" ); document.write( "Equation going upstream:
\n" ); document.write( "(2) \"+8+=+%28+s+-+2+%29%2A%28+5%2F3+-+t+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+t+=+8%2F%28+s+%2B+2+%29+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+8+=+%28+s+-+2+%29%2A%28+5%2F3+-+8%2F%28+s%2B2+%29+%29+\"
\n" ); document.write( "(2) \"+8+=+%285%2F3%29%2As+-+10%2F3+-+%288s%29+%2F+%28+s%2B2+%29+%2B+16%2F%28+s%2B2+%29+\"
\n" ); document.write( "Multiply both sides by \"+3%2A%28s+%2B+2%29+\"
\n" ); document.write( "(2) \"+24%2A%28+s%2B2+%29+=+5s%2A%28+s%2B2+%29+-+10%2A%28+s%2B2+%29+-+24s+%2B+48+\"
\n" ); document.write( "(2) \"+24s+%2B+48+=+5s%5E2+%2B+10s+-+10s+-+20+-+24s+%2B+48+\"
\n" ); document.write( "(2) \"+5s%5E2+-+48s+-+20+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+s+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "\"+b+=+-48+\"
\n" ); document.write( "\"+c+=+-20+\"
\n" ); document.write( "\"+s+=+%28-%28-48%29+%2B-+sqrt%28+%28-48%29%5E2+-+4%2A5%2A%28-20%29+%29%29+%2F+%282%2A5%29+\"
\n" ); document.write( "\"+s+=+%28+48+%2B-+sqrt%28+2304+%2B+400+%29%29+%2F+10+\"
\n" ); document.write( "\"+s+=+%28+48+%2B-+sqrt%28+2704+%29%29+%2F+10+\"
\n" ); document.write( "\"+s+=+%28+48+%2B+52+%29+%2F+10+\" ( can't use the negative square root )
\n" ); document.write( "\"+s+=+100%2F10+\"
\n" ); document.write( "\"+s+=+10+\"
\n" ); document.write( "The speed of the boat in still water is 10 km/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+8+=+%28+s+%2B+2+%29%2At+\"
\n" ); document.write( "(1) \"+8+=+%28+10+%2B+2+%29%2At+\"
\n" ); document.write( "(1) \"+8+=+12t+\"
\n" ); document.write( "(1) \"+t+=+2%2F3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+8+=+%28+s+-+2+%29%2A%28+5%2F3+-+t+%29+\"
\n" ); document.write( "(2) \"+8+=+%28+10+-+2+%29%2A%28+5%2F3+-+t+%29+\"
\n" ); document.write( "(2) \"+8+=+40%2F3+-+8t+\"
\n" ); document.write( "(2) \"+8t+=+40%2F3+-+24%2F3+\"
\n" ); document.write( "(2) \"+8t+=+16%2F3+\"
\n" ); document.write( "(2) \"+t+=+2%2F3+\"
\n" ); document.write( "OK\r
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