To find out how long it would take Inessa to run 5 laps at the same pace, we first need to determine her pace for one lap.
Inessa ran 3 laps in 10 minutes, so her time per lap is:
\[ \text{Time per lap} = \frac{10 \text{ minutes}}{3 \text{ laps}} = \frac{10}{3} \text{ minutes per lap} \approx 3.33 \text{ minutes per lap} \]
Now, to find out how long it would take her to run 5 laps, we multiply the time per lap by 5:
\[ \text{Time for 5 laps} = 5 \text{ laps} \times \frac{10}{3} \text{ minutes per lap} = \frac{50}{3} \text{ minutes} \]
Calculating \(\frac{50}{3}\):
\[ \frac{50}{3} \approx 16.67 \text{ minutes} \]
This can be expressed as:
\[ 16 \frac{2}{3} \text{ minutes} \]
So, the answer is 16 2/3 minutes.