Posted by jason on Wednesday, February 13, 2008 at 1:45am.
First find the speed at which Ann swims.
0.4km/20min = 0.02km/m
Let C be the speed of the current
Ann's upstream time is:
0.25km/(0.02km/m - C)
Ann's downstream time is:
0.75km((0.02km/m + C)
The problems states that they are equal.
0.25km/(0.02km/m - C) = 0.75km/(0.02km/m + C)
Solve for C. It will be in km/m.
Substitute the value you found for C into either equation to get the one way time. The problem seems to indicate that you need the total time. That is the time it took Ann to swim up and back. Be sure to indicate that time is for one direction and the total time is twice that.
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