Answer :
Answer:
To find the average speed of the car during the time interval from 11:00 AM to 11:45 AM, we first need to determine the distance traveled and then use the formula for average speed.
Given:
- The car passes the 100 km mark at 11:00 AM.
- The car passes the 160 km mark at 11:45 AM.
**Step 1: Calculate the distance traveled from 11:00 AM to 11:45 AM:**
Distance traveled = 160 km - 100 km = 60 km
**Step 2: Calculate the time taken:**
Time taken = 11:45 AM - 11:00 AM = 45 minutes
Convert 45 minutes to hours:
\[ \text{Time taken} = \frac{45}{60} \text{ hours} = 0.75 \text{ hours} \]
**Step 3: Calculate the average speed:**
Average speed \( \text{S} \) is given by:
\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} \]
\[ \text{Average speed} = \frac{60 \text{ km}}{0.75 \text{ hours}} \]
\[ \text{Average speed} = \frac{60}{0.75} \text{ km/h} \]
\[ \text{Average speed} = 80 \text{ km/h} \]
Therefore, the average speed of the car during the time interval from 11:00 AM to 11:45 AM is \( \boxed{80 \text{ km/h}} \).