Match the times to their equivalent hours in 24-hour format.

let's fill in the missing times and durations.

The structure for each problem is:

$$\text{Start Time} \xrightarrow{\text{Duration}} \text{End Time}$$

This means $\text{Start Time} + \text{Duration} = \text{End Time}$.

:

• We are given the end time ($10:00 \text{ pm}$) and the duration ($9 \text{ hrs}$). We need to find the start time.
• Start Time = End Time - Duration
• Start Time = $10:00 \text{ pm} - 9 \text{ hrs}$
• Counting back 9 hours from $10:00 \text{ pm}$: $10:00 \text{ pm} - 1 \text{ hr} = 9:00 \text{ pm}$ $9:00 \text{ pm} - 8 \text{ hrs} = 1:00 \text{ pm}$ The missing time is $\boxed{\text{1:00 pm}}$.

:

• We are given the start time ($9:00 \text{ am}$) and the end time ($10:30 \text{ am}$). We need to find the duration.
• Duration = End Time - Start Time
• Duration = $10:30 \text{ am} - 9:00 \text{ am}$
• Duration = $1 \text{ hour } 30 \text{ minutes}$ The missing duration is $\boxed{\text{1 hr 30 mins}}$.

:

• We are given the start time ($11:00 \text{ am}$) and the duration ($13 \text{ hrs}$). We need to find the end time.
• End Time = Start Time + Duration
• End Time = $11:00 \text{ am} + 13 \text{ hrs}$
• $11:00 \text{ am} + 1 \text{ hr} = 12:00 \text{ pm}$
• $12:00 \text{ pm} + 12 \text{ hrs} = 12:00 \text{ am}$ (the next day) The missing time is $\boxed{\text{12:00 am}}$.

:

• We are given the start time ($7:00 \text{ am}$) and the end time ($6:00 \text{ am}$). Since $6:00 \text{ am}$ is before $7:00 \text{ am}$ on the same day, this implies the duration extends into the next day.
• Duration = Time from $7:00 \text{ am}$ to $6:00 \text{ am}$ the next day.
• From $7:00 \text{ am}$ to $7:00 \text{ am}$ the next day is $24 \text{ hours}$.
• From $7:00 \text{ am}$ to $6:00 \text{ am}$ the next day is $24 \text{ hours} - 1 \text{ hour} = 23 \text{ hours}$. The missing duration is $\boxed{\text{23 hrs}}$.