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Mindbender: Double speed

A silly one! There is a drain-pipe lying in the road. It is fifteen feet long. A squirrel pokes its head in at one end and then runs around and pokes its head in at the other end. If this takes six seconds and it doubles in speed each trip, how many trips will it have to make before it is poking its head into each end of the drainpipe at the same time?

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