Answer: the speed of the wind is 365 mph
Step-by-step explanation:
Let x represent the speed of the wind.
An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.
Time = distance/speed
Time spent in flying with the wind is
2716/(365 + x)
In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.
Time spent in flying against the wind is
2394/(365 - x)
Since the time is the same, it means that
2716/(365 + x) = 2394/(365 - x)
Cross multiplying, it becomes
2716(365 - x) = 2394(365 + x)
991340 - 2716x = 873810 + 2394x
2394x + 2716x = 991340 - 873810
5110x = 1865150
x = 1865150/5110
x = 365 mph
