Alice can complete a project in \(20\) days and Bob can complete the same project in \(30\) days. Alice and Bob start working on the project together, with Alice quitting after some time, and it takes Bob another \(10\) days to complete the project. What is the total number of days it took to complete the project?

This problem is posed by Nidhi T.

**Details and assumptions**

Assume Alice and Bob work at a constant rate to complete the project.

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