(For those with keen eyes, this is the MacKenzie and not the Willamette, but who's perfect?)
Caught between the Autzen foot bridge and the Knickerbocker bridge, a good swimmer needs to cross the Willamette river as fast as possible. His speed swimming is 1.50 meters per second. The current of the river is 1.00 meters per second and the river is 15 meters wide.
- a.
- How long will it take him to swim across the river if he takes account of the current and swims so that his body remains at the same lateral position in the river while crossing it(ie. he travels exactly perpendicular to the bank), ending up on the far bank exactly across from where he started.
- b.
- If instead he lets his body be carried downstream by the current while just aiming his body for the other bank and swimming, how long will it take to get across the river, and how far downstream from his point of starting will he end up?
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