Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back i

Question

AlekseyPX

4 years ago

14

Flying to miami whit a tailwind a plane averaged 376 mph. On the return trip the plane only averaged 312 mph while flying back i

nto the same wind. Find the speed of the wind and speed of the plane in still air.
please show me the work

Mathematics

1 answer:

liq [111] · Answer 1 · 2022-01-06T17:43:46+03:00

Let x = the speed of the plane, mph
Let y = the speed of the wind., mph

When flying with a tailwind, the effective speed of the plane is (x + y), therefore
x + y = 376 (1)

When flying back against the wind, the effective speed is (x-y), therefore
x - y = 312 (2)

Add (1) and (2).
2x = 376+312 = 688
x = 344 mph
y = 376 - x = 32

Answer:
Plane: 344 mph
Wind: 32 mph