Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same distance in 3/5 of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane? Initial trip:

Return trip:

Let x be the average airspeed of the plane.

Let y be the average wind speed.

Initial trip: 18 = (x + y)

Return trip: 18 = (x – y)

Dalia had an average airspeed of
miles per hour.

The average wind speed was
miles per hour.