To find out how long it would take Inessa to run 5 laps at her current pace, we start by calculating her pace per lap.
Inessa ran 3 laps in 10 minutes, so her time per lap is:
\[ \text{Time per lap} = \frac{\text{Total time}}{\text{Number of laps}} = \frac{10 \text{ minutes}}{3 \text{ laps}} \approx 3.33 \text{ minutes per lap} \]
Now, to find out how long it would take her to run 5 laps, we multiply the time per lap by the number of laps:
\[ \text{Time for 5 laps} = \text{Time per lap} \times 5 = \left( \frac{10}{3} \right) \times 5 = \frac{50}{3} \text{ minutes} \approx 16.67 \text{ minutes} \]
This is equivalent to \( 16 \frac{2}{3} \) minutes.
Therefore, the answer is:
16 2/3 minutes