Answer :
The speed of the airplane in still air is 275 miles/hour and speed of wind is 55 miles/hour
What is the relation between Speed , Distance and Time ?
Speed = Distance/Time --- This reveals how quickly or slowly an object is moving. It gives the amount of time it took to travel a certain distance divided by the distance traveled. Speed is inversely correlated with time and directly correlated with distance.
Given,
Distance = 660 miles
When with the wind the time is = 2 hours
And, When against the wind the time is = 3 hours
Let, the speed of the plane in still air = x
the speed of wind = y
We know, speed = distance / time
so, When with the wind the speed is (s1) = x + y
When against the wind the speed is (s2) = x - y
Next,
s1 = x + y = 660 / 2
s1 = 330 miles/hour
s2 = x - y = 660/3
s2 = 220 miles/hour
Add the speed,
s1 + s2 = 330 + 220
= x + y + x - y = 550
=2x = 550
x = 275 miles/hour (speed of the airplane in still air)
x + y = 330
275 + y = 330
y = 330 - 275
y = 55 miles/hour (speed of wind)
Therefore, the speed of the airplane in still air is 275 miles/hour and speed of wind is 55 miles/hour
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