Sorry for posting lots of questions in this forum but my book doesn't have answers to the Intermediate Value Theorem questions for some reason so, the question is:

A Tibetan monk leaves the monastery at 7:00AM and takes his usual path to the top of the mountain, arriving at 7:00PM. The following morning, he starts at 7:00 AM at the top and takes the same path back, arriving at the monastery at 7:00PM. Use the Intermediate Value Theorem to show that there is a point on the path that the monk will cross at exactly the same time of day on both days.

Like what more can I say than the following?:

f(7) < 0 < f(19)

or is that actually the final answer?? or am I just completely wrong?