Posted by mike on Tuesday, September 25, 2012 at 7:47am.
Let her rate in still water be x km/h
time in still water = 25/x hours
time to go upstream = 12/(x-2)
time to go downstream = 12/(x+2)
12/(x-2) + 12/(x+2) = 25/x
(12x + 24 + 12x - 24)/(x^2 - 4) = 25/x
24x/(x^2 - 4) = 25/x
25x^2 - 100 = 24x^2
x^2 = 100
x = ± √10
rate in still water is 10 km/h
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