4
QuizMultiple Choice

Modeling with Systems of Linear Equations — Quiz

Question 4 • Mathematics I

A pilot flew a 400 -mile flight in 2 point 5 hours flying into the wind. Flying the same rate and with the same wind speed, the return trip took only 2 hours, with a tailwind. What was the speed of the wind?

Answer
A
180
B
160
C
40
D
20

Explanation

Flying into the wind, the pilot’s ground speed was 400 ÷ 2.5 = 160 miles per hour. With a tailwind, the ground speed was 400 ÷ 2 = 200 miles per hour. The difference, 200 − 160 = 40 miles per hour, is twice the wind speed, so the wind speed was 20 miles per hour: choice D.

AI-written and checked against the verified answer.

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