Final answer:
To solve the clock mix-up problem, 56 minutes are subtracted from the intended time between 4 pm and 5 pm, and then another hour is subtracted to correct for the mistaken position of the minute hand, concluding the real time to be 2:04 pm.
Step-by-step explanation:
The question presents a time problem where a clock has its minute and hour hands switched, resulting in the person seeing a time that is 56 minutes earlier than the real time. To find the correct real time, we must consider that the minute hand would make it seem like it added one hour, less the 56 minutes it is behind. If the person was supposed to be at place H between 4 pm and 5 pm and we subtract 56 minutes, the time would be 3:04 pm. However, this time includes the hour mistakenly added by the minute hand's position.
To correct for this, we need to actually subtract the false hour as well, which brings us to 2:04 pm as the actual time. Thus, the real time on the clock is 2:04 pm.