Darren walks at a speed of 5.7km per hour. Work out an estimate for the distance, in metres, that Darren walks in 19 minutes.

To estimate the distance Darren walks in 19 minutes, we'll use the formula:

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

Given:
- Speed = \( 5.7 \) km/h
- Time = \( 19 \) minutes

### Step 1: Convert time from minutes to hours
Since the speed is given in kilometers per hour, we need to convert 19 minutes into hours.

\[
\text{Time in hours} = \frac{19}{60} \text{ hours}
\]

### Step 2: Calculate the distance in kilometers
\[
\text{Distance in km} = 5.7 \times \frac{19}{60}
\]

\[
\text{Distance in km} \approx 5.7 \times 0.3167 \approx 1.80519 \text{ km}
\]

### Step 3: Convert the distance to meters
Since 1 km = 1000 meters:

\[
\text{Distance in meters} = 1.80519 \times 1000 \approx 1805.19 \text{ meters}
\]

### Final Answer
Darren walks approximately **1805 meters** in 19 minutes.

Would you like further details or have any questions?

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Here are 5 related questions:
1. What would be the distance if Darren walked for 30 minutes instead of 19?
2. How long would it take Darren to walk 10 kilometers at the same speed?
3. If Darren increased his speed to 7 km/h, how far would he walk in 19 minutes?
4. What is the average speed in meters per second?
5. How much time would Darren need to walk 5 kilometers at his current speed?

**Tip:** Always make sure units are consistent when calculating distances or speeds.

Learn how to estimate the distance Darren walks in 19 minutes at a speed of 5.7 km/h using the formula Distance = Speed × Time. This problem involves converting units, calculating distance in kilometers and meters, and understanding the relationship between speed and time. Suitable for Grades 7-9 students.

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