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:
Given Information
- Total Distance = 20 kilometers
- Total Time = 2 hours
Calculation
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:
- What would the average speed be if the distance was 30 kilometers in 2 hours?
- How much time would the runner take to complete 40 kilometers at this average speed?
- 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?
- How does average speed change if the distance remains the same but the time is reduced to 1.5 hours?
- 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
-
Suitable Grade Level
Grades 6-8