Asked by Libuse

An airplane flying with the wind can cover a certain distance in a = 3 hours. The return trip against the wind takes b = 4.5 hours. How fast is the plane and what is the speed of the wind, if the one-way distance is c = 720 miles?

Answers

Answered by Reiny
speed of plane in no wind --- x mph
speed of wind ---- y mph

time with the wind = 720/(x+y) = 3
3x + 3y = 720
x + y = 240

time against the wind = 720/(x-y) = 4
4x - 4y = 720
x-y = 180

add the two simplified equations:
2x = 420
x = 210
back in x+y=240
210 + y = 240
y = 30

the plane has a speed of 210 mph, and the wind was 30 mph
Answered by Libuse
You are smart! Thanks!
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions