If you have a wet carpet but not a carpet machine to suck it out, resort to using clean dry towels pressed down over the area to help absorb some of the excess liquid. Alternatively, use baking soda, sprinkled evenly over the wet spot, to help absorb some moisture, allowing the soda itself to dry a little before vacuuming it up.
You can then also leave windows open on hot days to allow the water to dry naturally, or use a dehumidifier to help suck some of the moisture out of the space allowing it to dry more quickly.