The Global Positioning System (GPS) satellite travels \(\frac{23}{30}\) kilometers in \(\frac{1}{5}\) second. How far does the satellite travel in 12 seconds?
Answer (2)
To find the distance the satellite travels in 12 seconds, we need to first find the distance it travels in 1 second. We know that the satellite travels 23/30 kilometer in 1/5 second. We can set up a proportion to find the distance it travels in 1 second:
23/30 kilometer = x kilometer
1/5 second = 1 second
Cross-multiplying, we get:
1/5 * 1 = 23/30 * x
Simplifying, we get:
x = (1/5) * (30/23) = 6/23 kilometer
So, the satellite travels 6/23 kilometer in 1 second. To find the distance it travels in 12 seconds, we can multiply this distance by 12:
(6/23 kilometer) * 12 = 72/23 kilometer
Therefore, the satellite travels approximately 3.13 kilometers in 12 seconds.
The GPS satellite travels 46 kilometers in 12 seconds. This was calculated by finding the distance it travels in one second and then multiplying by 12 seconds. Specifically, it travels 6 23 kilometers in one second, leading to a total distance of 46 kilometers in 12 seconds.
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