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Let's break down the solution:

1. **Calculate A and B's work rates:**
   - A can complete the work in 18 days, so A's work rate is \( \frac{1}{18} \) of the work per day.
   - B can complete the work in 15 days, so B's work rate is \( \frac{1}{15} \) of the work per day.

2. **Determine work done by B in 10 days:**
   - In 10 days, B completes \( 10 \times \frac{1}{15} = \frac{10}{15} = \frac{2}{3} \) of the work.

3. **Remaining work for A to complete:**
   - Since B has completed \( \frac{2}{3} \) of the work, the remaining work is \( 1 - \frac{2}{3} = \frac{1}{3} \).

4. **Calculate time for A to finish the remaining work:**
   - A can complete \( \frac{1}{18} \) of the work per day. To complete \( \frac{1}{3} \) of the work, A would need:
     \[
     \frac{\frac{1}{3}}{\frac{1}{18}} = \frac{1}{3} \times 18 = 6 \text{ days}
     \]

So, the answer is **6 days**.

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Would you like more details, or have any questions?

Here are five related questions that might deepen your understanding:
1. If A and B worked together for the entire duration, how long would it take them to finish the work?
2. What if B worked for only 5 days instead of 10—how long would it take A to finish the remaining work?
3. If a third person C joined and could complete the job in 12 days, how would this affect the overall time if all three worked together?
4. How would the result change if A's efficiency decreased by 10% after B left?
5. If A and B alternated days, how long would it take them to complete the work?

**Tip:** To solve similar problems, focus on calculating individual work rates and understanding how much work remains at each step.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

Solve a work and time problem where A and B complete a task at different rates. B leaves after 10 days, and the problem asks how many days A needs to finish the remaining work alone. This example teaches students about individual work rates and calculating remaining work time.

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