The first process: soldiers walk from the end of the platoon to the head of the platoon.
The speed of the soldiers relative to the team is (x-y), and they left 100m, so the soldiers spent 100/(x-y) in this process.
The second process: soldiers walk from the front row to the back row.
The speed of the soldiers relative to the team is (x+y), and they also walk 100m, and the time is 100/(x+y).
So the total time spent by soldiers is100/(x-y)+100/(x+y).
The team went straight ahead at the same speed and walked 100 meters, so the total time of the team was100/y.
The two total times are the same, and the equation is:
100/(x-y)+ 100/(x+y)= 100/y
Multiply both sides by (x-y) (x+y) y:
X * x-2xy-y * y = 0 (the square of y is difficult to express, so y * y is used to express the square of y).
Solve this equation to get the relationship between y and x: y = 1 root number 2. (The root number is not easy to type, which is indicated by the Chinese character root number 2)
Take the sign and the root number 2 = 1.4 14 to get y = 2.4 14x.
The team walked 100 meters at the speed of X in the total time, so the soldiers must have walked 24 1.4 meters at the speed of Y in the same time.