Question

A pilot flew 525 miles in 3 hours against wind. Pilot returned in 2 hours and 30 minutes with wind at tail. How fast was plane without wind? What was the speed of the wind?

Answer 1

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