Two cars start from place A & B. 100 km apart, towards each other. Both cars start. A bird sitting, on one car starts at the same time towards the other car, and as soon as it reaches the second car. it flies back to the first car and it continues in this manner flying backwards and forwards from one car to the other, until the cars meet. Both cars travel at a speed on 50 kmph and the bird flies at 100 kmph. Total distance covered by the birds will be-

Options

A. A)50 km
B. B)100 km
C. C)200 km
D. D)None of these

Answer

To solve the problem, we need to determine the total distance covered by the bird while both cars are moving towards each other until they meet. Here’s a step-by-step solution:

### Step 1: Understand the scenario
- Two cars start from points A and B, which are 100 km apart.
- Both cars are moving towards each other at a speed of 50 km/h.
- A bird starts flying from one car to the other at a speed of 100 km/h.

### Step 2: Calculate the time until the cars meet
- Since both cars are moving towards each other, we can calculate the time it takes for them to meet.
- The combined speed of both cars is:
\[ \text{Combined speed} = 50 \text{ km/h} + 50 \text{ km/h} = 100 \text{ km/h} \]
- The time taken for the cars to meet is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{100 \text{ km}}{100 \text{ km/h}} = 1 \text{ hour} \]

### Step 3: Calculate the distance covered by the bird
- The bird flies for the entire time until the cars meet, which we found to be 1 hour.
- The distance covered by the bird can be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
- The speed of the bird is 100 km/h, so:
\[ \text{Distance covered by the bird} = 100 \text{ km/h} \times 1 \text{ hour} = 100 \text{ km} \]

### Final Answer:
The total distance covered by the bird is **100 km**.

---