Math Problem Statement

What is the speed of a bus that travels a distance of 400.00 km in 420.0 mins?

Solution

To find the speed of the bus, we use the formula for speed:

Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}

Given:

  • Distance = 400.00 km
  • Time = 420.0 minutes

First, we need to convert the time from minutes to hours because speed is typically expressed in kilometers per hour (km/h).

Time in hours=420.0mins60mins/hour=7.0hours\text{Time in hours} = \frac{420.0 \, \text{mins}}{60 \, \text{mins/hour}} = 7.0 \, \text{hours}

Now, plug the values into the speed formula:

Speed=400.00km7.0hours=57.14km/h\text{Speed} = \frac{400.00 \, \text{km}}{7.0 \, \text{hours}} = 57.14 \, \text{km/h}

So, the speed of the bus is 57.14 km/h.

Would you like further details, or do you have any questions? Here are some related questions:

  1. How would the speed change if the distance were increased?
  2. What would the speed be if the bus took 6 hours instead?
  3. How to convert speed into different units (e.g., m/s)?
  4. What is the average speed concept, and how does it apply here?
  5. How can you determine time if speed and distance are known?

Tip: Always convert units to the same system before performing calculations to ensure accuracy!

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Math Problem Analysis

Mathematical Concepts

Algebra
Unit Conversion
Speed Calculation

Formulas

Speed = Distance / Time
Time in hours = Time in minutes / 60

Theorems

None

Suitable Grade Level

Grades 5-7