sam deove through roadworks where speed limit is 50mph two cameras recorded the time taken to travle 1200m through roadworks as 56secs was  he speeding?

To determine if Sam was speeding, we can calculate his average speed through the roadworks and compare it to the speed limit of 50 mph.

### Step 1: Convert distance to miles
The distance Sam traveled is 1200 meters. We first need to convert this distance to miles:

\[
1 \text{ mile} = 1609.34 \text{ meters}
\]

\[
\text{Distance in miles} = \frac{1200 \text{ meters}}{1609.34 \text{ meters/mile}} \approx 0.746 \text{ miles}
\]

### Step 2: Convert time to hours
Sam took 56 seconds to travel this distance. We need to convert this time to hours:

\[
1 \text{ hour} = 3600 \text{ seconds}
\]

\[
\text{Time in hours} = \frac{56 \text{ seconds}}{3600 \text{ seconds/hour}} \approx 0.0156 \text{ hours}
\]

### Step 3: Calculate Sam's average speed
Using the formula for speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

\[
\text{Speed} = \frac{0.746 \text{ miles}}{0.0156 \text{ hours}} \approx 47.8 \text{ mph}
\]

### Conclusion:
Sam's average speed was approximately 47.8 mph, which is **below** the speed limit of 50 mph. Therefore, Sam was **not speeding**.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How does average speed differ from instantaneous speed?
2. What are the penalties for speeding in a roadworks zone?
3. How do speed cameras calculate average speed?
4. How does unit conversion affect speed calculations?
5. What factors can affect a car's speed in roadworks zones?

**Tip:** Always double-check units when solving speed-related problems to ensure accuracy in your calculations.

Learn how to calculate average speed and determine if someone is speeding through roadworks. In this problem, we convert distance and time units to determine average speed using the speed formula. Suitable for Grades 7-9.

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