# Problem of the Day: 12/21/12

In the figure below, STUV is a rectangle. $UW = 13$ and the ratio $TU:UV=\frac{3}{2}$. What is the length of side TU?

Solution to yesterday’s problem:
To find the average speed for the entire flight, we just add the distances and the times together and solve with the formula $r=\frac{d}{t}$.

The distances are $100 + 600 + 200 = 900$ miles, and the times are $1 + 2 + 1\frac{1}{2} = 4\frac{1}{2}$.

Dividing the distance by the time,

$\frac{900}{4\frac{1}{2}}\times \frac{2}{2}=\frac{1800}{9}=200$

So the average flight speed is 200 miles per hour.