Final answer:
The satellite travels 1/10 of the path in 1/4 second. Using proportions, we find that it would take 2.5 seconds for the satellite to travel the entire path.
Step-by-step explanation:
The question is asking about the time it takes for a satellite to travel the entire length of its path given that it travels 1/10 of the path in 1/4 second at a constant rate. To solve this, we need to use the concept of proportions. Since the satellite travels 1/10 of the path in 0.25 seconds, we can set up a proportion to find the time for the entire path:
- (1/10) path / 0.25 seconds = 1 full path / x seconds
By cross-multiplying, we get:
- 0.25 seconds * 1 full path = (1/10) path * x seconds
Solving for x gives:
- x = (0.25 * 10) seconds
- x = 2.5 seconds
Therefore, it would take the satellite 2.5 seconds to travel the entire length of the path.