Question

An amusement park line for passengers waiting to ride a roller coaster is moving about 16 feet every 10 minutes. Jason and his friends are standing 40 feet from the front of the line. Select values to set up a proportion to represent this situation. Solve the proportion to determine how long it will take for Jason and his friends to reach the front of the line.

Answer 1

40÷16=2.5
2.5×10=25

25 minutes

Answer 2

It will take 25 minutes to reach first in line.

Explanation:

Consider the provided information.

It is given that the Distance between Jackson and his friend = 40 feet

Rate at which the line is moving = 16 feet per 10 minute

Thus, time taken by Jackson to reach the position his friend is standing is given by:

`\text{Time taken = }\displaystyle\frac{\text{Distance}}{Rate}\\\text{Time taken} = \displaystyle\frac{40\text{ feet}}{16\text{ feet per 10 minute}}\\= \displaystyle(40* 10)/(16) = 25\text{ minutes}`

It will take 25 minutes to reach first in line.

Proportion used can be written as

`Time: 10::40:16`