Answer:
The speed of wind is 32 mile per hour
The speed of plane is 210 mile per hour
Step-by-step explanation:
Given as :
The speed of plane with tailwind = 242 mph
The speed of the return trip = 178 mph
Let The speed of the wind = y mph
The speed of the plane = x mph
Now , According to question
The speed of plane with tailwind = x + y
Or, x + y = 242 mph .......1
and The speed of the return trip = 178 mph
or , x - y = 178 mph ........2
Solving both equations
( x + y ) + ( x - y ) = 242 + 178
Or, 2 x = 420
∴ x =
I.e x = 210 mph
Put the value of x in eq 1
I.e x + y = 242 mph
or, 210 + y = 242
∴ y = 242 - 210
I.e y = 32 mph
Hence The speed of wind is 32 mile per hour
And The speed of plane is 210 mile per hour Answer