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Answered

A football field is 300 feet long. A sloth moving very quickly travels 60 feet every 5 minutes. Based on this ratio, how many minutes would it take a sloth to travel the length of a football field? Explain your answer. help me please

Answer :

kiambriaross
25 minutes.

Explanation: if the field is 300 feet and the sloth travels 60 feet every 5 minutes, you would divide 300 feet by 60 feet to determine the distance the sloth can travel. That gives you 5, then you would multiple 5 by 5 minutes.

side note: there’s probably a simpler way to explain this

We know that speed defines the rate at which the position of a given object changes as time passes.

Here we must use the relation:

distance = speed*time.

With this, we will find that the sloth needs 25 minutes to travel the given distance.

Now let's see how we get that value:

We know that the length of the football field is 300ft, then:

distance = 300ft.

We also know that the sloth can travel a distance of 60ft in 5 minutes, then using the above relation we can find that the speed of the sloth is:

speed = distance/time = 60ft/5min = 12 ft/min

Now we know the distance that the sloth must travel and the speed of the sloth, then we can solve the general relation for the time:

time = distance/speed = [tex]\frac{300ft}{12ft/min} = 25min[/tex]

This means that the sloth will travel the length of a football field in 25 minutes.

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