GeekDad Puzzle of the Week: The Invasion

Summer is upon us, and here in Central Florida we have something besides Hurricanes to worry about. We have to contend with a horrible enemy that is difficult to kill and persistent in it's mission. The enemy? Red Ants. Email your answer to the puzzle for your chance to win a $50 gift code from Thinkgeek!
This Red Army is taking over.

Summer is upon us, and here in Central Florida we have something besides Hurricanes to worry about. We have to contend with a horrible enemy that is difficult to kill and persistent in it's mission. The enemy? Red Ants. Impervious to most household poisons and determined in their mission to dominate every empty lot between Key West & Pensacola. There is an empty lot in my neighborhood, and the Red Ants are working on their domination of the crab grass and miscellaneous weeds. I need your help to figure out how long before the Red Ants take over the lot and pose a threat to the neighbors.

Email your answer by 10:00 PM EST on Thursday for your chance to win a $50 gift code from Thinkgeek!

Here's what I know about the ants, based on carefully measuring the lot and making up facts about their reproductive cycle. I have also noticed some black ants on the lot, and I put down some poison just to see what would happen.

The lot is 25 squares, each square measuring three square feet.

In 12 squares, Black ants occupy one square foot of each of those squares. The Black ants do not reproduce.

It takes 10 Red Ant soldiers to defeat the black ants on a square. I noticed those Red Ants died after battle.

The Red Ant queens reproduce five soldiers per day and one queen every other day.

It takes seven Red Ant soldiers to occupy one square foot and one queen per three square feet to occupy a space and own it.

I put poison down in eight empty spaces, covering all three square feet of each space. The poison does not kill the queens, but it kills three soldiers per space per day.

The Red Ants currently occupy one space containing one queen and 20 soldiers and no Black ants or poison. Based on that, how many days until they fully occupy the remaining 24 spaces and have taken over the lot?

Email your answer by 10:00 PM EST on Thursday for your chance to win a $50 gift code from Thinkgeek!