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A football field is 300 ft long. A sloth moving very quickly travels 60 ft every 5 min. Based on this ratio, how many minutes would it take sloth to travel the length of a football field? Show your work.

Ask by Santiago Rodriguez. in the United States
Jan 25,2025

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Tutor-Verified Answer

Answer

It takes the sloth 25 minutes to travel the length of a 300-foot football field.

Solution

To determine how long it takes the sloth to travel the length of a football field (300 feet), we'll use the given ratio of the sloth's speed. **Given:** - Distance to travel: 300 feet - Sloth's speed: 60 feet every 5 minutes **Step 1: Determine the Sloth's Speed in Feet per Minute** \[ \text{Speed} = \frac{60 \text{ feet}}{5 \text{ minutes}} = 12 \text{ feet per minute} \] **Step 2: Calculate the Time to Travel 300 Feet** \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{300 \text{ feet}}{12 \text{ feet per minute}} = 25 \text{ minutes} \] **Alternatively, Using a Proportion:** \[ \frac{60 \text{ feet}}{5 \text{ minutes}} = \frac{300 \text{ feet}}{x \text{ minutes}} \] **Cross-Multiply to Solve for \( x \):** \[ 60x = 300 \times 5 \\ 60x = 1500 \\ x = \frac{1500}{60} \\ x = 25 \text{ minutes} \] **Conclusion:** It would take the sloth **25 minutes** to travel the length of a 300-foot football field.

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Beyond the Answer

To find how long it would take the sloth to travel the length of a football field (300 ft), we first need to determine the sloth's speed. The sloth covers 60 ft in 5 minutes. 1. Calculate the speed of the sloth: - Speed = Distance / Time = 60 ft / 5 min = 12 ft/min. 2. Now, we need to find out how long it takes to travel 300 ft at this speed: - Time = Distance / Speed = 300 ft / 12 ft/min = 25 min. So, it would take the sloth 25 minutes to travel the length of the football field. To reinforce this calculation, we can also visualize the journey of our speedy sloth. Imagine a typical game day at a football field where every minute counts. If our sloth takes 25 minutes, it could be the ultimate slow-motion replay while fans are waiting for action! So, grab a snack and enjoy the show as the sloth makes its way down the field at its leisurely pace. Moreover, it’s fascinating how this calculation can apply in real-world scenarios like planning a hike or estimating travel times for various speeds, albeit hopefully much faster than a sloth! Whether it's on foot, cycling, or in a vehicle, understanding how to calculate speeds can help make more accurate time estimates for journeys!

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