**A small plane travels 100 miles in one hour, 600 miles in two hours, then 200 miles in one and a half hours. What is the average speed of the plane throughout the trip?**

*Solution to yesterday’s problem:*

Yay, I get to try out LaTeX!

The original length-to-width ratio is 2:1. So we can designate as the width and as the height. When the length and width are both decreased by 2 inches, the ratio becomes 2.5:1. We’ll change 2.5 to 5/2 and write this equation to represent the change:

Now let’s *work* this proportion! Cross multiplying,

Distributing,

Rearranging by subtracting and adding ,

So the width of the original board is *6 inches.*

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