Josh and three friends are planning to spend 2 days collecting litter on a walking path. The length of the path is 1 mile. Josh and his friends have decided that they will divide up the mile-long path so that each person collects litter for the same distance. What is the distance, in feet, that each person will collect litter?

Step-by-step explanation:

The distance of the path that Josh and his friends want to cover in 2 days is 1 mile. Since the number of friends is 3, the total number of people to cover this distance is 3 + 1 = 4

We would convert the distance to feet.

1 mile = 5280 feet

Since Josh and his friends have decided that they will divide up the mile-long path so that each person collects litter for the same distance, the distance, in feet, that each person will collect litter is

5280/4 = 1320 feet

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)