An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed

Question

3 years ago

14

of the wind of the airplane rate is 525 miles per hour in still air?

1 answer:

SOVA2 [1] · Answer 1 · 2022-01-07T17:30:28+03:00

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)