Question

flying to munich with a tailwind plane averaged 242 mph. on the return trip the plane only averaged 178 mph while flying back into the same wind. what is the speed of the wind? how fast would the plane go if there was no wind?​

Answer 1

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 = $\frac{420}{2}$

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