Answer
The work done by each person, mgh, is the same because mass and height are the same. Because power is "work done divided by the time interval", page 112, the person who climbs in the shorter time uses more power.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.