the time it takes to fly tfrom los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 900 km/h how long would it take at 800 km/h

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 ≈ 6.75 hours

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