Cathy ran 10 meters in 2 seconds. To find out how long it would take her to run 100 meters, we can first determine her speed.
Speed \( v \) can be calculated as:
\[ v = \frac{\text{distance}}{\text{time}} = \frac{10 \text{ meters}}{2 \text{ seconds}} = 5 \text{ meters/second} \]
Now, using her speed, we can find out how long it takes to run 100 meters:
\[ \text{time} = \frac{\text{distance}}{\text{speed}} = \frac{100 \text{ meters}}{5 \text{ meters/second}} = 20 \text{ seconds} \]
Therefore, the time Cathy took to complete 100 meters is 20 seconds.