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Ghost Ships


Best Answer DeGe, 15 October 2013 - 04:53 PM

Spoiler for Ahoy there

I is E above.

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#1 BMAD

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Posted 14 October 2013 - 01:39 AM

Four ghostly galleons – call them E, F, G and H, – sail on a ghostly sea so foggy that visibility is nearly zero. Each pursues its course steadily, changing neither its speed nor heading. G collides with H amidships; but since they are ghostly galleons they pass through each other with no damage nor change in course. As they part, H’s captain hears G’s say “Damnation! That’s our third collision this night!” A little while later, F runs into H amidships with the same effect (none) and H’s captain hears the same outburst from F’s. What can H’s captain do to avoid a third collision and yet reach his original destination, whatever it may be, and why will doing that succeed?


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#2 DeGe

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Posted 14 October 2013 - 10:35 AM

Spoiler for Ahoy there

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#3 DeGe

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Posted 15 October 2013 - 04:53 PM   Best Answer

Spoiler for Ahoy there

I is E above.


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#4 harey

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Posted 16 October 2013 - 10:31 AM

If I posted this problem, I would ask to clarify:

1) why the lines H and I cannot be parallel;

2) crossing trajectories do not necessarily imply that the ships collide.

 

BTW, the sea should be endless (so that H does not reach her destination before colliding).


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#5 DeGe

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Posted 16 October 2013 - 10:47 AM

If I posted this problem, I would ask to clarify:

1) why the lines H and I cannot be parallel;

2) crossing trajectories do not necessarily imply that the ships collide.

 

BTW, the sea should be endless (so that H does not reach her destination before colliding).

1) Agree. Of course H and I can be parallel. Alternatively, they could even meet/collide at the same point (or just after) the collision between H and F. However, The question is not to find out the exact points at which they collide (if they do).

2) Agree again - that will depend on the relative speeds of the ships. Since no such info is given in the op, the solution must provide for any possible combination of speeds and directions.

 

The proposed solutions does take that into account.


Edited by DeGe, 16 October 2013 - 10:47 AM.

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