Analyse the following data and answer the questions given below:
A group of students wanted to compare the speeds of different trains travelling between two railway stations. They referred to a railway timetable and recorded the distance between two stations and the time taken by each train to travel between them.
They organised their observations in the following table:
The students knew that speed tells us how much distance an object covers in a given amount of time. They also knew that when comparing speeds, the units of distance and time must be considered carefully.
Use the information in the table to answer the following questions.
They organised their observations in the following table:
The students knew that speed tells us how much distance an object covers in a given amount of time. They also knew that when comparing speeds, the units of distance and time must be considered carefully.
Use the information in the table to answer the following questions.
| Train | Distance travelled | Time taken |
|---|---|---|
| Passenger | \(30\ km\) | \(1\ h\) |
| Express | \(45\ km\) | \(45\ min\) |
| Superfast | \(60\ km\) | \(1\ h\) |
1. The Express train takes \(45\ minutes\) to cover \(45\ km\). Before comparing its speed with the other trains, what should the students do?
2. After converting the Express train's travel time into hours, which value represents its speed?
3. Suppose the Express train covered the same \(45\ km\), but its journey took \(1.5\ hours\) instead of \(45\ minutes\). How would its speed compare with the Passenger train?
4. After studying the table, a student says:
“The train that covers the greatest distance must always be the fastest.”
Which option best evaluates this conclusion?
“The train that covers the greatest distance must always be the fastest.”
Which option best evaluates this conclusion?