Final answer:
To find out how many minutes it would take a sloth to travel the length of a football field, we can set up a ratio and solve a proportion.
Step-by-step explanation:
To find out how many minutes it would take a sloth to travel the length of a football field, we can set up a ratio between the distance the sloth travels in 5 minutes and the length of the football field. The ratio is 60 ft : 5 min. To find the number of minutes it would take to travel 300 ft, we can set up a proportion.
To solve this, you can set up a ratio since the speed of the sloth and the time it takes to travel a certain distance is given. The ratio is 60 feet to 5 minutes, which reduces to a rate of 12 feet per minute. To find out how long the sloth would take to travel 300 feet, you would divide 300 by this rate of 12.
Let x be the number of minutes it takes for the sloth to travel 300 ft. This gives us the proportion: 60 ft / 5 min = 300 ft / x min.
We can cross-multiply and solve for x.
The equation becomes: 60 * x = 5 * 300
Dividing both sides by 60 gives us: x = 5 * 300 / 60 = 25.
Therefore, it would take the sloth 25 minutes to travel the length of a football field.
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