Question

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 a sloth to travel the length of a football field? Show your work.

Answer 1

It would take the sloth 25 minutes to travel the length of a 300 ft football field, since it moves at a rate of 60 ft every 5 minutes.

Step-by-step explanation:

The student's question is asking how long it will take a sloth to travel the length of a football field, given that a sloth moves at a rate of 60 feet every 5 minutes and the length of a football field is 300 feet.

To find out the time it takes for the sloth to travel the entire football field, we can set up a ratio based on the given speeds. We know that:

• The sloth travels 60 ft in 5 minutes.
• The football field is 300 ft long.

First, let's find out how many times the sloth's travel distance fits into the length of the football field:

300 ft ÷ 60 ft = 5

This means the sloth has to travel 5 times its typical distance to cover the length of the field. Next, since it takes the sloth 5 minutes to travel 60 ft, we multiply the number of distances (5) by the time it takes to travel one distance (5 minutes per distance):

5 × 5 minutes = 25 minutes

Therefore, it will take the sloth 25 minutes to travel the length of the football field.

Answer 2

Answer: it would take the sloth 25 minutes to travel the length of a football field at a rate of 60 ft every 5 min.

Step-by-step explanation: 60 ft / 5 min = 300 ft / x min

To solve for x, we can cross-multiply:

60 ft * x min = 5 min * 300 ft

x = (5 min * 300 ft) / 60 ft

x = 25 min