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Protecting the fleet Part E. (Posted on 2015-12-23) Difficulty: 4 of 5
A fleet of ships is on a straight course at a speed of one knot. It is guarded by a cruiser that travels at two knots.

E. The ships are in the formation of a perfect circle of radius 1 nautical mile. How long does the cruiser take to completely traverse the edge of this circle?

Try to give an exact answer.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

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I think we're going to need a bigger boat | Comment 1 of 3
Apropos of nothing, I note that the fleet has grown significantly.  With a radius of 1 mile, it is 3.14 times the size of our square fleet, and 7.26 times the size of our triangular fleet.  

If I were the admiral, I would commit a 2nd cruiser to protecting the fleet.  Or have a single, faster cruiser.  (It would not need to be twice as fast in order to do the job in half the time.)

  Posted by Steve Herman on 2015-12-23 16:48:59
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