document.write( "Question 497590: going down the river a boat went 10mph. going up the river it only went 2mph. find the current and the speed of the boat if there were no current. \n" ); document.write( "

Algebra.Com's Answer #336757 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = the speed of the current
\n" ); document.write( "Let $\"+b\"$ = the speed of the boat in still water
\n" ); document.write( "Going downriver, the boat travels at $\"+b+%2B+c+\"$ mi/hr
\n" ); document.write( "Going upriver, the boat travels at $\"+b+-+c+\"$ mi/hr
\n" ); document.write( "-----------------
\n" ); document.write( "given:
\n" ); document.write( "going downriver,
\n" ); document.write( "(1) $\"+b+%2B+c+=+10+\"$ mi/hr
\n" ); document.write( "going upriver,,
\n" ); document.write( "(2) $\"+b+-+c+=+2+\"$ mi/hr
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+c+=+10+-+b+\"$
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) $\"+b+-+%28+10+-+b+%29+=+2+\"$
\n" ); document.write( "(2) $\"+b+-+10+%2B+b+=+2+\"$
\n" ); document.write( "(2) $\"+2b+=+12+\"$
\n" ); document.write( "(2) $\"+b+=+6+\"$
\n" ); document.write( "The speed of the boat if there is no current is 6 mi/hr \n" ); document.write( "

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