Analyzing Train Data to Find Minimum Per Km Cost

The question asks us to identify the train with the minimum cost per kilometer based on the provided table data. To find this, we need to calculate the per kilometer cost for each train listed in the options. The per kilometer cost can be calculated by dividing the 'Fair per person' by the 'Distance'.

Calculating Per Kilometer Cost for Trains

The formula for calculating the per kilometer cost is:

$$ \text{Per km Cost} = \frac{\text{Fair per person}}{\text{Distance}} $$

Let's calculate this value for the trains given in the options:

• Train 1001: Distance = 1200 km, Fair = 3000 Rs Per km Cost = $$ \frac{3000}{1200} = \frac{30}{12} = 2.50 \text{ Rs/km} $$
• Train 1003: Distance = 1280 km, Fair = 2800 Rs Per km Cost = $$ \frac{2800}{1280} = \frac{280}{128} = \frac{35}{16} = 2.1875 \text{ Rs/km} $$
• Train 1004: Distance = 1250 km, Fair = 2900 Rs Per km Cost = $$ \frac{2900}{1250} = \frac{290}{125} = \frac{58}{25} = 2.32 \text{ Rs/km} $$
• Train 1005: Distance = 1180 km, Fair = 3200 Rs Per km Cost = $$ \frac{3200}{1180} = \frac{320}{118} = \frac{160}{59} \approx 2.71 \text{ Rs/km} $$

Comparing Per Kilometer Costs

Now, let's compare the calculated per kilometer costs for the four trains:

• Train 1001: 2.50 Rs/km
• Train 1003: 2.1875 Rs/km
• Train 1004: 2.32 Rs/km
• Train 1005: Approx 2.71 Rs/km

Comparing these values, we can see that the minimum per kilometer cost is 2.1875 Rs/km, which belongs to Train 1003.

Conclusion on Minimum Per Km Cost

Based on the calculations, Train 1003 has the minimum per kilometer cost among the given options.

Revision Table: Key Metrics from Train Table

Additional Information: Analyzing Train Data

Data analysis from tables like this involves calculating various metrics to understand different aspects of the trains or services. Besides per kilometer cost, other useful metrics could include:

• Travel Time: Calculated by dividing Distance by Speed. This tells us how long a journey takes.
• Average Occupancy Rate (if total seats and reserved seats are an indicator): Although 'Reserved Seats' is given, we might look at 'Total Seats' to understand capacity. If actual passenger numbers were given, we could calculate occupancy.
• Total Revenue per Trip: This might be calculated as 'Fair per person' multiplied by the number of passengers (which isn't directly given, but could be assumed as 'Total Seats' for a full train).

Understanding how to extract relevant information and perform calculations is crucial for solving data interpretation questions based on tables and charts. Always read the column headers carefully to understand what each data point represents.