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This question already has an answer here:

You, a well-known submarinist criminal, are taken prisoner in a perfectly circular island, surrounded by water.

You stand in the center of the island, with the submarinism equipment (don't worry about its weight).

Surrounding the island there is a boat, watching you, that goes 4 times faster than you. That means that even if you go straight in the opposite direction of the boat to flee, the boat will arrive there before you.

If you manage to arrive to the water and the boat's not there, you'll manage to finally flee, since you'd go underwater.

Question is, can you flee the island? If so, how?

EDIT: There's no problem with acceleration nor delay (yes, the boat can go from full speed to full speed in the opposite direction)

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Just to sum up

The island is perfectly circular and you are in the center.

The boat is always on the border of the island, moves at 4 times your speed, and can go from full speed in one direction to full speed in the opposite.

If you arrive at the border of the island and the boat is not there, you are free.

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marked as duplicate by Rand al'Thor, Community May 13 '15 at 14:43

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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    $\begingroup$ And we are to assume no delay by either party, and no acceleration by either party, right? In other words, both the boat and the criminal can either be stopped or moving full speed, correct? $\endgroup$ – JLee May 13 '15 at 14:26
  • $\begingroup$ Correct. Thanks. Well, if somehow needed they could move slower, but they have $\infty$ acceleration. $\endgroup$ – Masclins May 13 '15 at 14:28
  • $\begingroup$ @randal'thor I can assure you this can be solved. I summed out what's needed in the logic puzzle for avoid any missunderstood nor thinking that's some kind of riddle. It's a logic and calculation puzzle with everything you need to solve it. Even though, it would be interesting to see a demonstration that you can't flee, if you feel you can't. $\endgroup$ – Masclins May 13 '15 at 14:33
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    $\begingroup$ @AlbertMasclans I know! I wasn't criticising the puzzle at all :-) "Dupe" means duplicate: I think this exact question has been asked before on this site. $\endgroup$ – Rand al'Thor May 13 '15 at 14:35
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    $\begingroup$ Found it! puzzling.stackexchange.com/questions/2155/the-lake-monster That's essentially the same problem, right? $\endgroup$ – Rand al'Thor May 13 '15 at 14:39