Two trains A and B running at 60 kmph and 40 kmph respectively in opposite directions from stations X and Y 200 km apart will cross or collide at a moment exactly after

Options

A. 1 hour and 30 minutes
B. 3 hours and 20 minutes
C. 2 hours
D. 2 hours and 30 minutes

Explanation

To solve the problem of two trains A and B running towards each other from stations X and Y, we can follow these steps:

### Step 1: Understand the Problem
We have two trains:
- Train A is traveling at a speed of 60 km/h.
- Train B is traveling at a speed of 40 km/h.
The distance between the two stations (X and Y) is 200 km.

### Step 2: Calculate the Relative Speed
Since the trains are moving in opposite directions, we can find their relative speed by adding their speeds together:
- Relative Speed = Speed of Train A + Speed of Train B
- Relative Speed = 60 km/h + 40 km/h = 100 km/h

### Step 3: Use the Distance Formula
The formula for distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
We know the distance is 200 km and the relative speed is 100 km/h. We can rearrange the formula to find the time:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

### Step 4: Substitute the Values
Now, substitute the known values into the formula:
\[ \text{Time} = \frac{200 \text{ km}}{100 \text{ km/h}} \]

### Step 5: Calculate the Time
Now, perform the calculation:
\[ \text{Time} = 2 \text{ hours} \]

### Conclusion
The two trains A and B will cross or collide after 2 hours.

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