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Las Cruses, NM, is about 600 mi from Dallas, TX. One plane flies from Dallas to Las Cruses in 1 hr 12 min, and another plane with the same air speed flies from Las Cruses to Dallas in 1 hr 30 min. Find the air speed of the planes and the speed of the wind

User Jzop
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2 Answers

2 votes

Answer:

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Explanation:

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User Tin Ng
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3 votes

Answer: the speed of the plane is 7.4 miles per minute.

the speed of the wind is 0.93 miles per minute.

Explanation:

Let x represent the speed of the plane.

Let y represent the speed of the wind.

Distance of Las Cruses, NM from Dallas, TX is 600 miles.

Distance = speed × time

One plane flies from Dallas to Las Cruses in 1 hr 12 min(72 minutes). Assuming the plane flew in the same direction with the wind, then

600 = 72(x + y)

600 = 72x + 72y - - - - - - - - 1

Another plane with the same air speed flies from Las Cruses to Dallas in 1 hr 30 min(90 minutes). Assuming it flew in opposite direction to that of the wind, then

600 = 90x - 90y - - - - - - - 2

Adding equation 1 and equation 2, it becomes. 1200 = 162x

x = 1200/162 = 7.4 miles per minute.

x + y = 600/72 = 8.33

y = 8.33 - x = 8.33 - 7.4 = 0.93 miles per minute

User Timothy Steele
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6.2k points
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