Answer :

To find the average speed of the van in kilometers per hour (km/h), follow these steps:

1. Convert the Distance to Kilometers:
The van travels a distance of 4000 meters. To convert meters to kilometers, divide by 1000 (since 1 kilometer equals 1000 meters).
[tex]\[
\text{Distance in kilometers} = \frac{4000 \, \text{meters}}{1000} = 4.0 \, \text{kilometers}
\][/tex]

2. Convert the Time to Hours:
The van takes 7 minutes to cover this distance. To convert minutes to hours, divide by 60 (since 1 hour equals 60 minutes).
[tex]\[
\text{Time in hours} = \frac{7 \, \text{minutes}}{60} \approx 0.1167 \, \text{hours}
\][/tex]

3. Calculate the Average Speed:
Average speed can be calculated using the formula:
[tex]\[
\text{Average speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
Substituting the values we converted:
[tex]\[
\text{Average speed} = \frac{4.0 \, \text{kilometers}}{0.1167 \, \text{hours}} \approx 34.29 \, \text{kilometers per hour}
\][/tex]

Therefore, the van's average speed is approximately 34.29 km/h.

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Rewritten by : Barada