1. **Problem:** The ratio of first and second class fares between two stations is 5:3, and the ratio of passengers traveling in first and second class is 2:11. Total fare collected is 8600. Find the fare collected from second class passengers.
2. **Formula and Explanation:**
- Let first class fare be $5x$ and second class fare be $3x$.
- Let number of first class passengers be $2y$ and second class passengers be $11y$.
- Total fare collected: $5x \times 2y + 3x \times 11y = 8600$.
3. **Work:**
$$10xy + 33xy = 8600$$
$$43xy = 8600$$
$$xy = \frac{8600}{43} = 200$$
4. **Fare from second class passengers:**
$$3x \times 11y = 33xy = 33 \times 200 = 6600$$
**Answer:** Fare from second class passengers is 6600.
Fare Ratio 454A68
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