If the punctuality of railways is defined as the number of occasions onwhich trains arrived or departed in time as a percentage of total number of arrivals and departures from the station, then the punctuality for the month under observation is

Options

A. `94.3 %`
B. `91.7 %`
C. `89.2 %`
D. `75 %`

Answer

To calculate the punctuality of the railways based on the given information, we will follow these steps:

### Step 1: Identify the Data
We need to gather the number of trains that arrived and departed on time (0 minutes delay) and the total number of trains that arrived and departed.

- **Trains on time (0 minutes delay)**:
- Arrivals: 1250
- Departures: 1400

- **Total trains**:
- Total arrivals: 1400
- Total departures: 1490

### Step 2: Calculate Total On-Time Trains
Add the number of trains that arrived on time and the number of trains that departed on time.

\[ \text{Total On-Time Trains} = \text{Arrivals on time} + \text{Departures on time} = 1250 + 1400 = 2650 \]

### Step 3: Calculate Total Trains
Add the total number of arrivals and departures to find the total number of trains.

\[ \text{Total Trains} = \text{Total Arrivals} + \text{Total Departures} = 1400 + 1490 = 2890 \]

### Step 4: Calculate Punctuality Percentage
Now, we can calculate the punctuality percentage using the formula:

\[ \text{Punctuality Percentage} = \left( \frac{\text{Total On-Time Trains}}{\text{Total Trains}} \right) \times 100 \]

Substituting the values we calculated:

\[ \text{Punctuality Percentage} = \left( \frac{2650}{2890} \right) \times 100 \]

### Step 5: Perform the Division
Calculate the division:

\[ \frac{2650}{2890} \approx 0.9169 \]

### Step 6: Convert to Percentage
Now, convert this decimal to a percentage:

\[ 0.9169 \times 100 \approx 91.69\% \]

### Step 7: Round the Result
Round the result to one decimal place:

\[ \text{Punctuality Percentage} \approx 91.7\% \]

### Final Result
The punctuality for the month under observation is approximately **91.7%**.

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