Math Problem Statement

2,3 kilometers in 8 minutes and 8 seconds. What is the average speed in km per hour?

Solution

To calculate the average speed in kilometers per hour (km/h), we can use the formula:

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

First, let's convert the time from minutes and seconds into hours.

Step 1: Convert 8 minutes and 8 seconds into hours.

8minutes+8seconds=8×60+8=488seconds8 \, \text{minutes} + 8 \, \text{seconds} = 8 \times 60 + 8 = 488 \, \text{seconds} Convert seconds to hours: 488seconds=4883600hours0.1356hours488 \, \text{seconds} = \frac{488}{3600} \, \text{hours} \approx 0.1356 \, \text{hours}

Step 2: Use the formula.

Average Speed=2.3km0.1356hours16.96km/h\text{Average Speed} = \frac{2.3 \, \text{km}}{0.1356 \, \text{hours}} \approx 16.96 \, \text{km/h}

So, the average speed is approximately 16.96 km/h.

Would you like more details on the steps?

Here are 5 related questions:

  1. How do you convert different time units into hours?
  2. What is the formula for converting between units of distance and speed?
  3. How does the average speed change if the time increases?
  4. What other units can you use for speed besides km/h?
  5. Can this method be used for different types of motion (e.g., circular motion)?

Tip: Always ensure time is consistently converted into the same unit as the speed formula for accurate results.

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Math Problem Analysis

Mathematical Concepts

Speed
Time Conversion
Division

Formulas

Average Speed = Distance / Time
Time Conversion (seconds to hours)

Theorems

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Suitable Grade Level

Grades 6-8