document.write( "Question 384440: Swimming downstream, a swimmer can cover 0.5 mile in 6 minutes. It takes the swimmer 30 minutes to swim back up the stream. Find the speed of the swimmer in still water and the speed of the current. \n" ); document.write( "

Algebra.Com's Answer #272162 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,         
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document.write( "Let x +c and x-c represent speeds downstream and upstream respectively
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document.write( "Question states:  D = r*t 6 min = 1/10hr
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document.write( " 1/10(x+c)= .5mi
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document.write( "     x = 5 - c
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document.write( " 1/2(x -c)=.5mi  substituting for x, to solve for c
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document.write( " 1/2[(5 - c) - c] = .5mi
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document.write( "      5 -2c  = 1
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document.write( "          4 = 2c
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document.write( "          c = 2mph, the speed of the current, speed in still water is 3mph (5-2)\r
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document.write( "CHECKING our Answer
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document.write( " .1hr * 5mph = .5mi\r
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document.write( "               \n" );
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