document.write( "Question 169934: A boat can travel 36 mmiles downstream in 2 hours. Coming back upstream the trip takes 3 hours. Find the rate of the boat in still water and the rate of the current.
\n" ); document.write( "b be average speed of boat,
\n" ); document.write( "c = average current.
\n" ); document.write( "gives
\n" ); document.write( "2(b+c)= 36
\n" ); document.write( "3(b-c)= 36
\n" ); document.write( "expanding
\n" ); document.write( "..
\n" ); document.write( "2b+2c=36....divide by 2, b+c=18 giving 3b+3c=54
\n" ); document.write( "3b-3c=36..given
\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "3b+3c=54...eqn 1
\n" ); document.write( "3b-3c=36...eqn 2
\n" ); document.write( "subtract eqn 2 from 1
\n" ); document.write( "6c=18
\n" ); document.write( "c=3
\n" ); document.write( "b=15\r
\n" ); document.write( "\n" ); document.write( "Rate of boat = 15 mph
\n" ); document.write( "Current = 3mph\r
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Algebra.Com's Answer #125369 by rajagopalan(174)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "b be average speed of boat,
\n" ); document.write( "c = average current.
\n" ); document.write( "gives
\n" ); document.write( "2(b+c)= 36
\n" ); document.write( "3(b-c)= 36
\n" ); document.write( "expanding
\n" ); document.write( "..
\n" ); document.write( "2b+2c=36....divide by 2, b+c=18 giving 3b+3c=54
\n" ); document.write( "3b-3c=36..given
\n" ); document.write( "..\r
\n" ); document.write( "\n" ); document.write( "3b+3c=54...eqn 1
\n" ); document.write( "3b-3c=36...eqn 2
\n" ); document.write( "subtract eqn 2 from 1
\n" ); document.write( "6c=18
\n" ); document.write( "c=3
\n" ); document.write( "b=15
\n" ); document.write( "...
\n" ); document.write( "Answer:
\n" ); document.write( "Rate of boat = 15 mph
\n" ); document.write( "Current = 3mph\r
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