In one month, a travelling salesman goes from Delhi to Kolkata that are 1484 km apart. From Kolkata he goes to Goa which is 2129 km away and returns to Delhi via Kolkata in the same month. The traveling salesman repeats this trip for 4 months. How many kilometres did the salesmann travel in 4 months?

Answer

To solve the problem step by step, we will calculate the total distance traveled by the salesman in one month and then multiply that by the number of months (4 months).

### Step 1: Calculate the distance from Delhi to Kolkata
The distance from Delhi to Kolkata is given as:
- **Distance (Delhi to Kolkata)** = 1484 km

### Step 2: Calculate the distance from Kolkata to Goa
The distance from Kolkata to Goa is given as:
- **Distance (Kolkata to Goa)** = 2129 km

### Step 3: Calculate the total distance for one complete trip (Delhi to Kolkata to Goa and back to Delhi)
1. First, we need to add the distances from Delhi to Kolkata and Kolkata to Goa:
\[ \text{Total distance (one way)} = 1484 \text{ km} + 2129 \text{ km} \]
\[ = 3613 \text{ km} \]

2. Since the salesman returns to Delhi via Kolkata, we need to double this distance (to account for the return trip):
\[ \text{Total distance (round trip)} = 3613 \text{ km} \times 2 = 7226 \text{ km} \]

### Step 4: Calculate the total distance for 4 months
Now, we multiply the distance of one complete trip by the number of months (4):
\[ \text{Total distance (4 months)} = 7226 \text{ km} \times 4 \]
Calculating this:
1. \(4 \times 6 = 24\) (write down 4, carry over 2)
2. \(4 \times 2 = 8\) plus the carry over 2 gives \(10\) (write down 0, carry over 1)
3. \(4 \times 2 = 8\) plus the carry over 1 gives \(9\) (write down 9)
4. \(4 \times 7 = 28\) (write down 28)

So, the total distance traveled in 4 months is:
\[ \text{Total distance} = 28904 \text{ km} \]

### Final Answer
Thus, the total distance traveled by the salesman in 4 months is **28904 km**.

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