Intermediate Value Theorem Word Problem
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?