In each of the following question a question is asked followed by three information. You have to decide whether the question can bee answered with any one or two or all thee three informations.
Pappu and Munna are the drivers of two different buses. They are travelling in opposite directions and crosses one another in 27 seconds. What is the speed of Pappu’s bus?
Information
(1)The length of Pappu’s bus
(2)Speed of Munna’s bus
(3)The length of Munna’s bus

Options

A. If the information (1) and (2) are necessary
B. If the information (2) and (3) are necessary
C. If the information (1) (2) and (3) are necessary
D. None of these

Answer

To determine the speed of Pappu's bus, we need to analyze the information provided and how it relates to the question. The question states that Pappu and Munna are driving buses that cross each other in 27 seconds. We need to find the speed of Pappu's bus.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- Pappu and Munna are driving two buses in opposite directions.
- They cross each other in 27 seconds.
- We need to find the speed of Pappu's bus.

2. **Identifying Required Information**:
- To calculate the speed of Pappu's bus, we need to know:
- The length of Pappu's bus (let's denote it as Lp).
- The length of Munna's bus (let's denote it as Lm).
- The speed of Munna’s bus (let's denote it as Sm).

3. **Using the Information**:
- The total distance covered when the two buses cross each other is the sum of their lengths: \( D = Lp + Lm \).
- The relative speed when two objects move in opposite directions is the sum of their speeds: \( S_{relative} = Sp + Sm \).
- The time taken to cross each other is given as 27 seconds.

4. **Setting Up the Equation**:
- We can use the formula:
\[ \text{Distance} = \text{Relative Speed} \times \text{Time} \]
- Substituting the known values:
\[ Lp + Lm = (Sp + Sm) \times 27 \]

5. **Finding Pappu's Speed**:
- Rearranging the equation to find Pappu's speed:
\[ Sp = \frac{(Lp + Lm)}{27} - Sm \]
- This shows that we need both the lengths of the buses and the speed of Munna’s bus to calculate Pappu's speed.

### Conclusion:
- Therefore, all three pieces of information are necessary to determine the speed of Pappu’s bus.