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Mathematics-Online problems:

Interactive Problem 95: How to Cross a Stretch of Water

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A man wants to get as fast as possible to the point located $ a$ m from the starting point on the opposite side of a stretch of standing water with width 100 m.

\includegraphics[width=0.9\linewidth]{schwimmen.eps}

When using the optimal route, how long does it take him to reach that point? The man can swim at 1 m/sec and run at 5 m/sec.
Up to which distance $ a$ is it not worth running?


Answer:

(The results should be correct to three decimal places.)


   

(From: Day of Mathematics 1999)
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  automatically generated: 8/11/2017