$$ \begin{array}{|c|c|c|c|c|c|} \hline \text{Artist} & \text{Bernard} & \text{Meg} & \text{Clayton} & \text{Ivy} & \text{Anderson}\\\hline \text{Number of}&&&&&\\ \text{Consectuive}&8&10&8&6&5\\ \text{Work Hours}&&&&&\\ \hline \end{array} $$ The table above shows the consecutive number of hours that artists were signed into a shared studio space during the course of the studio's hours of operation. The studio is open from $8:00$ am through $10:00$ pm. If Ivy's work period did not overlap Clayton's, which of the following could be a time in which only one artist was using the workspace? $$ \begin{array}{ll} (A)\quad & 10:00-11:00\text{ am}\\ (B) & 12:00-2:00\text{ pm}\\ (C) & \hspace{0.0785 in}1:00-2:00\text{ pm}\\ (D) & \hspace{0.08 in}3:00-4:00\text{ pm}\\ (E) & \hspace{0.08 in}5:00-6:00\text{ pm}\\ \end{array} $$
I tried plotting parallel times for the people but I can't figure out when there would only be one person.
The studio is open for $14$ hours. If Ivy' and Clayton's times don't overlap and their times add to $14$, exactly one of them is there at any given time.
So you want a time when nobody else could be there. Meg is there for $10$ consecutive hours out of those $14$ (more than anyone else), so at which of the times $(A) - (E)$, would it be possible for Meg not to be there?