To determine how long it will take Caroline to sketch 3 cartoon strips, we first need to calculate her rate of work.
Caroline sketches 5 cartoon strips in 10 hours. Therefore, her rate of work is:
\[ \text{Rate} = \frac{\text{Total strips}}{\text{Total time}} = \frac{5 \text{ strips}}{10 \text{ hours}} = 0.5 \text{ strips per hour} \]
Now, to find out how long it takes her to sketch 3 strips, we can use the rate we calculated:
\[ \text{Time} = \frac{\text{Total strips}}{\text{Rate}} = \frac{3 \text{ strips}}{0.5 \text{ strips per hour}} = 6 \text{ hours} \]
Thus, it will take Caroline 6 hours to sketch 3 cartoon strips.