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# Explanation

### Explanatory Answer

Lioness spends 120 minutes walking from D to F, 40 minutes at F, 55 minutes walking from F to F’, 120 minutes at F’, and then walks from F’ to D.

Thus, her total time is 120 + 40 + 55 + 120 = 335 minutes plus the length of time that it takes her to walk from F’ to D.

Since lioness walks at a constant speed,

Since the time is positive.

In conclusion, Lioness is away from her den for 335 + 132 = 467 minutes.

Hence, option c. is correct.