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## To solve this problem, we can use the inverse variation formula:

time = k/speed

where k is the constant of variation.

Given that the trip takes 6 hours at 900 km/h, we can plug in these values into the formula to find k:

6 = k/900

To solve for k, we can cross multiply:

k = 6 * 900

k = 5400

Now that we know k, we can use it to find the time it would take at 800 km/h:

time = 5400/800

time β 6.75 hours

Therefore, the trip would take approximately 6 hours and 45 minutes at 800 km/h.