Respuesta :
Let, the speed of Airplane = x
Speed of Wind = y
We know, Speed = Distance / Time
So, x-y = 2100 / 6
x-y = 350
& x+y = 2100/4
x+y = 525
Substitute value of x from equation 1 into 2,
350+y+y = 525
2y = 525-350
y = 175/2
y = 87.5
& x = 350+y = 437.5
In short, Speed of Airplane is 437.5 mph and Wind is 87.5 mph
Hope this helps!
Speed of Wind = y
We know, Speed = Distance / Time
So, x-y = 2100 / 6
x-y = 350
& x+y = 2100/4
x+y = 525
Substitute value of x from equation 1 into 2,
350+y+y = 525
2y = 525-350
y = 175/2
y = 87.5
& x = 350+y = 437.5
In short, Speed of Airplane is 437.5 mph and Wind is 87.5 mph
Hope this helps!
The speed of the airplane is 437.5 mph and the speed of the wind is 87.5 mph.
What is the speed of an object?
The speed of an object can be defined by the ratio of the distance covered by the object to the total time to cover that distance.
Speed = Distance / Time
Let, the speed of the airplane = A miles / hour
The speed of the wind = B miles / hour.
Given, the total distance is = 2100 miles.
Time taken by the airplane against the wind is 6 hours.
Time taken by the airplane with the wind is 4 hours.
Therefore, (A - B) = 2100 / 6
⇒ (A - B) = 350 (1)
Again, (A + B) = 2100 / 4
⇒ A + B = 525 (2)
Adding equation (1) and equation (2), we get:
⇒ (A - B + A + B) = (350 + 525)
⇒ 2A = 875
⇒ A = 437.5
Putting the value of 'A' in equation (2), we get:
⇒ 437.5 + B = 525
⇒ B = 525 - 437.5
⇒ B = 87.5
Therefore, the speed of the airplane is 437.5 mph and the speed of the wind is 87.5 mph.
Learn more about speed of an object here: https://brainly.com/question/7642982
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