A commuter train travels 57 kilometers in 28 minutes. What is its speed in kilometer per​ hour?

To find the speed of the commuter train in kilometers per hour (km/h), you can use the following formula:

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

Given:
- Distance = 57 kilometers
- Time = 28 minutes

First, convert the time from minutes to hours:

\[
28 \text{ minutes} = \frac{28}{60} \text{ hours} = \frac{7}{15} \text{ hours}
\]

Now, calculate the speed:

\[
\text{Speed} = \frac{57 \text{ kilometers}}{\frac{7}{15} \text{ hours}} = 57 \times \frac{15}{7} = \frac{57 \times 15}{7} = \frac{855}{7} \approx 122.14 \text{ km/h}
\]

So, the speed of the commuter train is approximately **122.14 km/h**.

Would you like more details, or do you have any questions?

Here are five related questions:

1. How would the speed change if the train traveled 75 kilometers in the same time?
2. What is the time required for the train to travel 200 kilometers at the same speed?
3. How do you convert speed from km/h to meters per second (m/s)?
4. If the train had taken 35 minutes instead of 28 minutes to cover 57 kilometers, what would its speed be?
5. How do you calculate average speed if the train's speed varies over the journey?

**Tip:** When converting time units, always make sure to consistently use the same units throughout your calculations to avoid errors.

Learn how to calculate the speed of a commuter train that travels 57 kilometers in 28 minutes. This problem involves unit conversion from minutes to hours and uses the speed formula. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation