The speed is the distance covered by an object at a particular time. The speed of John's aeroplane is 650 mph.
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
John can fly aeroplane 2,800 miles with a wind speed of 50 mph.
Time John needs to travel in direction of wind = 2,800 miles / (x+50)mph
At the same time, John can travel 2,400 miles against the wind.
Time John needs to travel in the opposite direction of wind = 2,400 miles / (x-50)mph
Since the time is the same, equate it together,
2,800 miles / (x+50)mph = 2,400 miles / (x-50)mph
2800(x-50) = 2400(x+50)
Solving the equation for x,
2800x-140000+140000=2400x+120000+140000
400x=260000
x = 650
Hence, the speed of John's aeroplane is 650 mph.
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