Jack and Jill went up the hill. They started at the same time, but Jack arrived at the top one-and-a-half hours before Jill. On the way down, Jill calculated that, if she had walked 50% faster and Jack had walked 50% slower, then they would have arrived at the top of the hill at the same time. How long did Jill actually take to walk up to the top of the hill?
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Junior Mathematical Olympiad 2010 (2010)
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