I have about 30 tasks split evenly between 2 resources. Each resource has 15 tasks and all subsequent tasks for each individual are to start immediately following completion of the previous task:

I.E.

Task 1 Start: 3/5/12 Finish: 3/7/12
Task 2 Start: 3/8/12 Finish: 3/10/12 Predecessor: Task 1
Task 3 Start: 3/11/12 Finish: 3/13/12 Predecessor: Task 2
and so on.

Say task 1 finishes early, and I change the finish date to 3/6. How do I get project to automatically pull in the dates of tasks 2 and 3 to coincide with task 1 finishing early?

Windows XP, MS Project 2000.

Any help would be greatly appreciated!

Are the tasks linked to one another or have you typed in the dates? If you've typed in dates, it won't work. If you have created Finish to Start links between the tasks and updated the Actual Finish of Task 1 - Task 2 should automatically move forward.

If you've typed in the start dates, you've set a start no earlier than constraint -- and you will need to remove the constraints by setting it back to as soon as possible.

In addition to Julie's comments. Always remember from the start, to enter the tasks that you want to link, enter the duration for each task accordingly and then, from the start, drag and link them. This should prevent you experiencing this problem.