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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