Answer:
Step-by-step explanation:
Let x represent the speed of the plane.
Let y represent the speed of the wind.
Flying Against the wind, the pilot flew 525 miles in 3 hours . This means that the total speed while flying against the wind will be x - y. Speed = distance/time. Therefore
x - y = 525/ 3= 175 - - - - - - -1
Assuming that with the wind at tail, the airplane moves in the same direction with the wind. Total speed in without the wind will be x + y
Pilot returned in 2 hours and 30 minutes with wind at tail. Since the distance is the same,
Speed = distance/time. Therefore
x + y = 525/2.5 = 210 - - - - - - - 2
Add equation 1 and equation 2. It becomes
2x = 175 + 210 = 385
x = 385/2 = 192.5
y = 210 - x
y = 210- 192.5 = 17.5
The speed of the plane without wind is 192.5 miles/hour
The speed of the wind is 17.5 miles/ hour
