A boat of length \(2.5\text{ m}\) and weight \(100\text{ kg}\) is standing still in the water. Tim weighs \(70\text{ kg}\) and is inside the boat. If he walks from the stern to the prow of the boat, then by how much distance (in meters) will the boat move?

\(\)

**Details and Assumptions:**

- Water resistance and tilt of the boat are negligible.
- Give your answer to 3 decimal places.

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