An amusement park line is moving about 4 feet every 15 minutes. How long will it take for a person at the back of the 40-foot line to reach the front of the line?
To determine the time it will take for a person at the back of the 40-foot line to reach the front of the line, we need to divide the length of the line by the rate at which it is moving.
Length of the line: 40 feet
Rate of movement: 4 feet / 15 minutes
The time it will take can be calculated as follows:
40 feet / (4 feet / 15 minutes)
Simplifying the expression:
40 feet * (15 minutes / 4 feet)
The feet unit will cancel out, leaving us with:
40 * 15 minutes / 4
Multiplying:
600 minutes / 4
Simplifying the expression further:
150 minutes
Therefore, it will take 150 minutes for a person at the back of the 40-foot line to reach the front of the line.