Analysis: The plane takes off from the airport to the farthest point, and then returns to the original airport. Obviously, the round-trip distance is equal, that is, the downwind flight distance = the headwind flight distance, assuming that the downwind (or headwind) distance is s kilometers.

Downwind time = downwind flight distance ÷ downwind speed =S/880,

Headwind time = headwind flight distance ÷ headwind speed =S/760,

Therefore, the total flight time = downwind time+headwind time.

And because the plane can run for 9 hours at most, the total flight time of the plane is 9 hours at most. According to the above ideas, equations (or inequalities) can be listed (as follows).

Solution: Suppose that the maximum distance from the airport is S kilometers when this plane performs its mission.

S/880+S/760=9

Solve the equation to get S= 150480/4 1 (km).

A: The maximum distance from this plane to the airport is 150480/4 1 km.

(Note: For the list of inequality solutions, please refer to the following:)

Solution: When this plane is carrying out its mission, the distance from the airport is S kilometers.

S/880+S/760≤9

Solve the inequality and get S≤ 150480/4 1 (km).

So the maximum distance from this plane to the airport is 150480/4 1 km.

References:

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