Braving blizzard conditions on the planet Hoth, Luke Skywalker sets out in his snow speeder for a rebel base 4800 mi away. He travels into a steady head wind and makes the trip in 3 hr. Returning, he finds that the trip back, now with a tailwind, takes only 2 hr. Find the rate of Luke's snow speeder and the speed of the wind.

It is a system of linear equation, solve it by substitution:

from the second equation x = (4800 - 2y)/2 = 2400 - y, substitute to the first: 4800 = 3*(2400 - y) - 3y = 3*2400 - 6y, 6y = 2400, y = 400 (miles/hour), so x = 2400 - y = 2000 (miles/hour).

Answer: rate of Luke's snow speeder is 2000miles/hour and the speed of the wind is 400miles/hour.

May 20th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!