**Explanation:**

To find the ratio of displacement to distance, we need to first understand the concepts of displacement and distance.

**Displacement:** Displacement is a vector quantity that refers to the change in position of an object. It is the shortest distance between the initial and final positions, taking into account the direction. Displacement can also be represented by a straight line drawn from the initial position to the final position.

**Distance:** Distance is a scalar quantity that refers to the total length of the path traveled by an object. It does not consider the direction and is always positive or zero.

Now, let's break down the given information and calculate the displacement and distance.

**Given:**
- The particle completes one revolution in 40 seconds.
- Time interval = 2 minutes 20 seconds.

**Step 1: Calculating the displacement:**

Since the particle completes one revolution in 40 seconds, we know that it travels a complete circle in that time. The displacement for one revolution on a circle is zero because the starting and ending points are the same.

**Displacement = 0**

**Step 2: Calculating the distance:**

To calculate the distance, we need to find out how many revolutions the particle completes in the given time interval.

Time interval = 2 minutes 20 seconds = 140 seconds

The number of complete revolutions can be calculated by dividing the total time by the time taken for one revolution.

Number of complete revolutions = 140 seconds / 40 seconds = 3.5 revolutions

However, we need to note that in the given time interval, the particle does not complete a whole additional revolution. Therefore, we only consider the complete revolutions, which is 3 in this case.

The distance traveled by the particle is the circumference of the circle multiplied by the number of revolutions.

Distance = Circumference * Number of revolutions

Since the circumference of a circle is given by 2πr (where r is the radius), we can calculate the distance using the following formula:

Distance = 2πr * Number of revolutions

**Step 3: Calculating the ratio (displacement / distance):**

Now that we have calculated the displacement and distance, we can find the ratio.

Ratio (displacement / distance) = Displacement / Distance

Ratio (displacement / distance) = 0 / (2πr * Number of revolutions)

Ratio (displacement / distance) = 0

Therefore, the ratio of displacement to distance is zero.

In conclusion, the ratio of displacement to distance is zero, indicating that the particle does not move away from its initial position during the given time interval.

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