To find out how long it would take Inessa to run 5 laps at her current pace, first we need to determine her lap time.
Inessa ran 3 laps in 10 minutes. Thus, her time per lap is:
\[ \text{Lap time} = \frac{10 \text{ minutes}}{3 \text{ laps}} = \frac{10}{3} \text{ minutes per lap} \approx 3.33 \text{ minutes per lap} \]
Now, we can calculate the time for 5 laps:
\[ \text{Time for 5 laps} = 5 \text{ laps} \times \frac{10}{3} \text{ minutes per lap} = \frac{50}{3} \text{ minutes} \approx 16.67 \text{ minutes} \]
This converts to: \[ 16 \frac{2}{3} \text{ minutes} \]
Therefore, the answer is \( \boxed{16 \frac{2}{3} \text{ minutes}} \).