A taxi leaves the station X for station Y every 10 minutes. Simultaneously, a taxi also leaves the station Y for station X every 10 minutes. The taxies moves at the same same constant speed and go from X to Y or vice versa in 2 hours. How many taxies coming from the otehr side will meet each taxi on route from Y to X ?

Options

A. 24
B. 23
C. 12
D. 11

Explanation

To solve the problem, we need to determine how many taxis coming from the opposite station will meet each taxi on its route from station Y to station X.

### Step-by-Step Solution:

1. **Understand the Time and Speed**:
- The taxis travel from X to Y or Y to X in 2 hours.
- Taxis leave every 10 minutes from both stations.

2. **Calculate the Number of Taxis Leaving from Each Station**:
- In 2 hours, there are 120 minutes.
- Since a taxi leaves every 10 minutes, the number of taxis that leave from one station in 2 hours is:
\[ \text{Number of taxis} = \frac{120 \text{ minutes}}{10 \text{ minutes/taxi}} = 12 \text{ taxis} \]

3. **Identify Taxis Already on the Route**:
- When a taxi leaves station Y, it will meet taxis that left station X before it started its journey.
- The taxi that just left Y will meet all the taxis that left X in the previous 2 hours (which is 12 taxis).

4. **Count Taxis Leaving During the Journey**:
- As the taxi travels from Y to X, it will also meet taxis that leave station X while it is on the road.
- Since the taxi takes 2 hours to reach X, it will meet taxis that leave X during this time.
- Taxis leave every 10 minutes, so in 2 hours, 12 taxis will leave X while the taxi from Y is en route.

5. **Total Taxis Met**:
- The total number of taxis met by the taxi traveling from Y to X is:
\[ \text{Taxis from X before departure} + \text{Taxis leaving from X during the journey} = 12 + 11 = 23 \]
- Note: The taxi that just left Y will not meet itself, hence we subtract 1 from the total.

### Final Answer:
Thus, each taxi traveling from Y to X will meet **23 taxis** coming from the opposite direction.