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andrezito [222]
2 years ago
5

A plane flies 450 miles with the wind, and 350 miles against the wind (in the same amount of time). If the wind is blowing at 30

mph, how fast would the plane be going without air helping/hurting?​
Mathematics
1 answer:
adell [148]2 years ago
7 0

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)    [Time = distance / speed]

From (i) and (ii), we get

\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240

Hence, the speed of the plane = 240 mph.

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