You drove ﻿1818﻿ miles in ﻿2020﻿ minutes at a constant speed and did NOT exceed the speed limit, given in miles per hour. Among the following, which is the *lowest* that the speed limit could have been?

To determine the lowest possible speed limit that would not be exceeded, we need to calculate the speed you drove and then compare it to the options provided.

### Step 1: Convert the time from minutes to hours.
Since speed is usually given in miles per hour (mph), we first need to convert the driving time from minutes to hours:

\[
\text{Time in hours} = \frac{2020 \text{ minutes}}{60 \text{ minutes per hour}} = \frac{2020}{60} \approx 33.67 \text{ hours}
\]

### Step 2: Calculate the speed.
Next, we use the formula for speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{1818 \text{ miles}}{33.67 \text{ hours}} \approx 54 \text{ mph}
\]

### Step 3: Determine the lowest speed limit.
The calculated speed is approximately 54 mph. Therefore, the lowest speed limit that would not have been exceeded is **54 mph**.

Would you like more details or have any questions? Here are some related questions:

1. How would the speed change if the distance was different?
2. What if the time taken was less—how would that affect the speed?
3. How do you convert different units of time, like minutes to hours, correctly?
4. What would be the speed in meters per second?
5. How would you calculate the maximum speed if the time was 2 minutes longer?

**Tip:** When dealing with time in different units, always ensure you convert all measurements to the same unit before performing calculations.

Learn how to calculate the lowest possible speed limit that would not be exceeded given a certain distance and time. This problem involves converting time from minutes to hours, applying the speed formula, and determining the minimum speed limit. Suitable for students in Grades 7-9.

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