Math Problem Statement

If a runner completes a race of 20 kilometers in 2 hours, what is their average speed?

Solution

To calculate the average speed of the runner, we can use the formula:

Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Given Information

  • Total Distance = 20 kilometers
  • Total Time = 2 hours

Calculation

Average Speed=20 km2 hours=10 km/h\text{Average Speed} = \frac{20 \text{ km}}{2 \text{ hours}} = 10 \text{ km/h}

So, the average speed of the runner is 10 kilometers per hour (km/h).

Would you like more details or have any other questions?


Here are 5 related questions that could expand on this topic:

  1. What would the average speed be if the distance was 30 kilometers in 2 hours?
  2. How much time would the runner take to complete 40 kilometers at this average speed?
  3. If the runner's speed varied and they covered the first 10 km in 1 hour and the remaining 10 km in 3 hours, what would the new average speed be?
  4. How does average speed change if the distance remains the same but the time is reduced to 1.5 hours?
  5. If the runner’s speed increased to 15 km/h, how long would they take to complete the 20-kilometer race?

Tip: Remember, average speed depends on total distance and total time, regardless of speed variations during different segments of the journey.

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Math Problem Analysis

Mathematical Concepts

Average Speed
Ratio
Distance and Time Calculation

Formulas

Average Speed = Total Distance / Total Time

Theorems

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Suitable Grade Level

Grades 6-8