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Awake at start = 1/2 asleep + awake at end = 1/2 awake at end = 0.5 * asleep So by rearanging the equations we find that she was asleep for 1/3 of the total journey.

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Q: An airline passenger fell asleep halfway to her destinationwhen she awoke the distance remaining was half the distance traveled while she slept How much of the entire trip was she asleep?
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