The percentage of number of trains arriving late at the station is

Options

A. `6 %`
B. `10.4 %`
C. `10.7 %`
D. `10.9 %`

Answer

To find the percentage of trains arriving late at the station, we will follow these steps:

### Step 1: Identify the Data
We need to identify the number of trains that arrived late and the total number of trains that arrived at the station.

- Late arrivals:
- Delay of 0 to 30 minutes: 114 trains
- Delay of 30 to 60 minutes: 31 trains
- Delay of more than 60 minutes: 5 trains

- Total arrivals: 1400 trains

### Step 2: Calculate Total Late Arrivals
Now, we will add the number of late arrivals together:

\[ \text{Total Late Arrivals} = 114 + 31 + 5 = 150 \]

### Step 3: Calculate the Percentage of Late Arrivals
Next, we will calculate the percentage of late arrivals using the formula:

\[ \text{Percentage of Late Arrivals} = \left( \frac{\text{Total Late Arrivals}}{\text{Total Arrivals}} \right) \times 100 \]

Substituting the values we have:

\[ \text{Percentage of Late Arrivals} = \left( \frac{150}{1400} \right) \times 100 \]

### Step 4: Simplify the Calculation
Now, we can simplify the fraction:

\[ \frac{150}{1400} = \frac{15}{140} = \frac{3}{28} \]

Now we multiply by 100:

\[ \text{Percentage of Late Arrivals} = \frac{3}{28} \times 100 \]

### Step 5: Perform the Calculation
Calculating \( \frac{3 \times 100}{28} \):

\[ \frac{300}{28} \approx 10.71 \]

### Step 6: Round the Result
Rounding \( 10.71 \) gives us approximately \( 10.7\% \).

### Conclusion
Thus, the percentage of trains arriving late at the station is approximately **10.7%**.

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