Answer
Paula will be 17.5 meters downstream when she reaches the opposite shore.
Work Step by Step
To swim across the river in the shortest time possible, Paula should head directly across the river. While Paula is heading directly across the river, the current will take Paula a certain distance downstream.
We can find the time it takes for Paula to cross the stream:
$t = \frac{d}{v} = \frac{10.2~m}{0.833~m/s} = 12.24~s$
We can find how far the current pushes Paula in this time:
$d = v~t = (1.43~m/s)(12.24~s) = 17.5~m$
Paula will be 17.5 meters downstream when she reaches the opposite shore.
