Mateo cycled 3 miles one morning. Tiana cycled 5,000 yards that same morning. Who cycled a shorter distance?
Understand the Problem
The question is asking to compare the distances that Mateo and Tiana cycled in order to determine who cycled a shorter distance. Mateo cycled 3 miles and Tiana cycled 5,000 yards, requiring a conversion of yards to miles for accurate comparison.
Answer
Tiana cycled a shorter distance.
Answer for screen readers
Tiana cycled the shorter distance.
Steps to Solve
- Convert yards to miles First, we need to convert Tiana's distance from yards to miles. Since there are 1,760 yards in a mile, we can use the formula: $$ \text{Distance in miles} = \frac{\text{Distance in yards}}{1760} $$
For Tiana's distance: $$ \text{Distance in miles} = \frac{5000}{1760} $$
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Calculate Tiana's distance in miles Now, we perform the calculation: $$ \text{Distance in miles} = \frac{5000}{1760} \approx 2.84 $$
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Compare Mateo's and Tiana's distances Now that we have both distances in miles:
- Mateo's distance = 3 miles
- Tiana's distance ≈ 2.84 miles
We will compare these two values to see who cycled a shorter distance.
- Determine who cycled less Since $2.84 < 3$, Tiana cycled a shorter distance than Mateo.
Tiana cycled the shorter distance.
More Information
Mateo cycled 3 miles, while Tiana's distance of 5,000 yards converts to approximately 2.84 miles. Thus, Tiana cycled less than Mateo.
Tips
- Confusing yards and miles without converting properly.
- Miscalculating the division when converting from yards to miles. Always double-check your arithmetic!
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