Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a speed of 180 kilometers per hour, how long will it take Lola to travel from Paris to Nice?
The Correct Answer and Explanation is:
To calculate how long it will take Lola to travel from Paris to Nice, we need to divide the distance by the speed of the train. Here’s how we can break it down:
Step 1: Convert the units so they match.
The distance between Paris and Nice is given as 900,000 meters. The train’s speed is given as 180 kilometers per hour (km/h). To work with the same units, we will convert the distance from meters to kilometers because the speed is in kilometers per hour.
- 1 kilometer (km) = 1,000 meters (m).
- So, 900,000 meters is equivalent to 900,000 ÷ 1,000 = 900 kilometers.
Step 2: Use the formula for time.
The formula to find time is:Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}Time=SpeedDistance
Now, we can plug in the values we have:
- Distance = 900 kilometers
- Speed = 180 kilometers per hour (km/h)
So, the time it will take Lola is:Time=900 km180 km/h=5 hours\text{Time} = \frac{900 \, \text{km}}{180 \, \text{km/h}} = 5 \, \text{hours}Time=180km/h900km=5hours
Conclusion:
It will take Lola 5 hours to travel from Paris to Nice on the train.
Explanation:
We first converted the distance to the same unit as the speed (kilometers), and then used the basic formula for time, which is distance divided by speed. This approach is typical for problems involving motion where both the distance and speed are known, and we want to find the time it takes for the journey.
