The difference in time between two places is directly related to the difference in their longitudes. To understand why the correct answer is option 'B', let's break down the concept step by step.

1. Understanding Time Zones:
- The Earth is divided into 24 time zones based on the rotation of the Earth and the concept of a 24-hour day.
- Each time zone is approximately 15 degrees of longitude wide, with the Prime Meridian (0 degrees longitude) passing through Greenwich, London, serving as the reference point for the time zones.
- As one moves eastward from the Prime Meridian, the time increases by one hour for every 15 degrees of longitude. Conversely, as one moves westward, the time decreases by one hour for every 15 degrees of longitude.

2. Calculating the Difference in Time:
- The question states that the difference in time between the two places is 2 hours and 20 minutes.
- We know that for every 15 degrees of longitude, there is a time difference of 1 hour.
- To calculate the difference in longitude, we need to convert the given time difference into hours.
- 2 hours and 20 minutes can be converted to 2.33 hours (since 20 minutes is one-third of an hour).
- Now, we can calculate the difference in longitude using the formula:
Difference in Longitude = (Time Difference / 1 hour) * (15 degrees of longitude / 1 hour)

3. Calculating the Difference in Longitude:
- Plugging in the values, we get:
Difference in Longitude = (2.33 hours / 1 hour) * (15 degrees of longitude / 1 hour)
Difference in Longitude = 2.33 * 15 degrees of longitude
Difference in Longitude = 34.95 degrees of longitude (rounded to the nearest degree)

4. Identifying the Correct Answer:
- Among the given options, option 'B' states that the difference in longitude would be 35 degrees.
- Since 34.95 degrees of longitude is closest to 35 degrees, option 'B' is the correct answer.

In conclusion, the difference in time between two places is directly related to the difference in their longitudes. By converting the given time difference into hours and applying the formula, we can calculate the difference in longitude. In this case, the difference in longitude is approximately 35 degrees, making option 'B' the correct answer.