document.write( "Question 591146: The current in a stream moves at a speed of 3km/h. A boat travels 40 km upstream and 40 km downstream in a total time of 14 hours. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #375518 by josmiceli(19441)\"\" \"About 
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\"+s+-+c+\" = speed of boat going upstream
\n" ); document.write( "\"+s+%2B+c+\" = speed of boat going downstream
\n" ); document.write( "Let \"+t+\" = time going downstream
\n" ); document.write( "given:
\n" ); document.write( "\"+c+=+3+\" km/hr
\n" ); document.write( "Going downstream:
\n" ); document.write( "(1) \"+40+=+%28+s+%2B+3+%29%2At+\"
\n" ); document.write( "Going upstream:
\n" ); document.write( "(2) \"+40+=+%28+s+-+3+%29%2A%28+14+-+t+%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+s+%2B+3+=+40%2Ft+\"
\n" ); document.write( "(1) \"+s+=+40%2Ft+-+3+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+40+=+%28+40%2Ft+-+3+-+3+%29%2A%28+14+-+t+%29+\"
\n" ); document.write( "(2) \"+40+=+%28+40%2Ft+-+6+%29%2A%28+14+-+t+%29+\"
\n" ); document.write( "(2) \"+40+=+560%2Ft+-+84+-+40+%2B+6t+\"
\n" ); document.write( "(2) \"+6t+%2B+560%2Ft+=+164+\"
\n" ); document.write( "(2) \"+6t%5E2+%2B+560+=+164t+\"
\n" ); document.write( "(2) \"+3t%5E2+-+82t+%2B+280+\"
\n" ); document.write( "\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+3+\"
\n" ); document.write( "\"+b+=+-82+\"
\n" ); document.write( "\"+c+=+280+\"
\n" ); document.write( "\"+t+=+%28+-%28-82%29+%2B-+sqrt%28+%28-82%29%5E2+-+4%2A3%2A280+%29%29+%2F+%282%2A3%29+\"
\n" ); document.write( "\"+t+=+%28+82+%2B-+sqrt%28+6724+-+3360+%29%29+%2F+6+\"
\n" ); document.write( "\"+t+=+%28+82+%2B-+sqrt%28+3364+%29%29+%2F+6+\"
\n" ); document.write( "\"+t+=+%28+82+%2B+58%29+%2F+6+\"
\n" ); document.write( "\"+t+=+140%2F6+\"
\n" ); document.write( "\"+t+=+23.333+\" too big
\n" ); document.write( "\"+t+=+%28+82+-+58%29+%2F+6+\"
\n" ); document.write( "\"+t+=+24%2F6+\"
\n" ); document.write( "\"+t+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+s+=+40%2Ft+-+3+\"
\n" ); document.write( "(1) \"+s+=+40%2F4+-+3+\"
\n" ); document.write( "(1) \"+s+=+10+-+3+\"
\n" ); document.write( "(10 \"+s+=+7+\"
\n" ); document.write( "The speed of the boat in still water is 7 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+40+=+%28+s+-+3+%29%2A%28+14+-+t+%29+\"
\n" ); document.write( "(2) \"+40+=+%28+7+-+3+%29%2A%28+14+-+4+%29+\"
\n" ); document.write( "(2) \"+40+=+4%2A10+\"
\n" ); document.write( "(2) \"+40+=+40+\"
\n" ); document.write( "OK
\n" ); document.write( " \r
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