Due to the technical snag in the signal system two trains starts approaching each other on the same rail track from two different stations 240km away from each other . When the train starts a birds also starts moving to end fro between the two two trains at 60km/h touching each time each train. the bird is initially sitting on the top of the engine of one of the trains and it moves so till these trains collide If these trains collide one and a half hour after the starts then how many kilometers bird travells till the time of collision of trains?

Options

A. 90 km
B. 130 km
C. 120 km
D. none of these

Answer

To solve the problem, we need to determine how far the bird travels before the two trains collide. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Problem
We know that:
- The distance between the two trains is 240 km.
- The bird flies back and forth between the two trains at a speed of 60 km/h.
- The trains collide after 1.5 hours.

### Step 2: Calculate the Time Until Collision
The time until the trains collide is given as 1.5 hours.

### Step 3: Calculate the Distance the Bird Travels
To find out how far the bird travels, we can use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]

The speed of the bird is 60 km/h, and the time is 1.5 hours.

### Step 4: Plug in the Values
Now, we can plug in the values into the formula:
\[ \text{Distance} = 60 \text{ km/h} \times 1.5 \text{ hours} \]

### Step 5: Perform the Calculation
Calculating the distance:
\[ \text{Distance} = 60 \times 1.5 = 90 \text{ km} \]

### Conclusion
The bird travels a total distance of 90 kilometers before the trains collide.

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