Let the number of miles Ms. Moore drove in January be \( x \).
According to the problem, she drove 8 times as many miles in February as she did in January. Therefore, in February, she drove: \[ 8x \]
We are told that in February, she drove 200 miles. So we can set up the equation: \[ 8x = 200 \]
To find \( x \), we divide both sides by 8: \[ x = \frac{200}{8} = 25 \]
So, Ms. Moore drove 25 miles in January.
Now, for March, we are told she drove 2 times as many miles as she did in January. Therefore, the number of miles she drove in March is: \[ 2x = 2 \times 25 = 50 \]
Thus, Ms. Moore drove 50 miles in March.