To calculate the total time for drilling a hole, we use the formula:
\[
{Total time} = \frac{{Total distance}}{{Feed rate}} \times \frac{1}{{Spindle speed}},
\]
where:
- The total distance is the sum of the approach distance, breakthrough distance, and hole depth (30 mm).
- The feed rate is 0.3 mm/rev.
- The spindle speed is 600 RPM.
The total distance to be drilled is:
\[
{Total distance} = 3 + 3 + 30 = 36 \, {mm}.
\]
Now, the total time is:
\[
{Total time} = \frac{36}{0.3} \times \frac{1}{600} = \frac{120}{600} = 0.2 \, {minutes}.
\]
Thus, the total time for drilling the hole is approximately 0.20 minutes.