Final answer:
The satellite takes 40 seconds to travel the entire length of the path.
Step-by-step explanation:
The satellite travels along a horizontal path at a rate of 1/10 of the length of the path in 1/4 second.
To find out how many seconds it takes for the satellite to travel the entire length of the path, we can use the formula time = distance/speed.
We know that the distance is equal to the length of the path, and the speed is 1/10 of the length of the path in 1/4 second.
Substituting these values into the formula, we get:
time = (length of path)/(1/10 of length of path in 1/4 second)
time = (length of path)/(1/10 x length of path x 4)
time = 40 seconds