hmm... it seems like we are supposed to use the intermediate value theorem... but we run into some errors... here's the question:

a monk takes from 6 am to 6 pm to climb to the peak of a mountain of height M. climb sarts at the base of the montain. the next day, monk spends from 6 am to 6 pm to come down and reach the base. is there a time of day on which the monk is at the same height n day 1 and day 2? prove ur findings.