Answer: 30t + 450 = 30t
Explanation:
To calculate Xavier's average speed, we need to determine the time it took for him to travel from Terminal A to Terminal B. Let's assume Xavier's time is represented by "t" minutes.
Since Henry left Terminal A 15 minutes earlier than Xavier, we can express Henry's time as "t + 15" minutes.
We are given that when Xavier reached Terminal B, Henry had completed 2/3 (or 2/3 * 100% = 66.67%) of his journey and was 30 km away from Terminal B.
Since Xavier has completed the entire journey, the distance he traveled is the same as the remaining distance for Henry, which is 30 km.
Now, let's set up a proportion using the time and distance for Xavier and Henry:
t/(t + 15) = 30/30
Cross-multiplying the proportion:
30(t + 15) = 30t
Simplifying the equation:
30t + 450 = 30t
We can see that the "t" terms cancel out, resulting in 450 = 0, which is not possible.
Therefore, there seems to be an error or inconsistency in the given information or calculations. Please double-check the details or provide any additional information so that I can assist you further.