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Natali [406]
3 years ago
13

an airplane travels at a rate of 250 miles/he with the wind and at a rate of 150 miles against the wind. what is the rate of the

wind?​
Mathematics
1 answer:
Pie3 years ago
6 0

50 miles per hour  is the rate (speed) of the wind.

<u>Step-by-step explanation:</u>

Let consider the variable ‘x’ for speed of wind.  

<u>Below we write two values of the speed of the airplane in the air in terms of ‘x’: </u>

1. Subtract wind speed from airplane speed: 250 - x.

2. Add wind speed to the airplane speed against the wind: 150 + x.

And now, set these above two expressions equal to each other to find x (wind speed),

                                      250 – x = 150 + x

                                      2x = 100

                                     x = 50 miles per hour

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Answer: The answer is x = 6 units.

Step-by-step explanation: Please refer to the attached diagram

The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.

Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.

Hence if AD = DB and

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Then, x - 3 = ½x

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By cross multiplication we now have

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Hope it helps <3

(If it does, please give brainliest, only need one more for rank up :) )

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