State, which of the following variable are continuous and which are discrete:
distances covered by a train.

Answer

To determine whether the variable "distances covered by a train" is continuous or discrete, we can follow these steps:

### Step 1: Understand the Definitions
- **Continuous Variables**: These are variables that can take any value within a given range. They are measured and can include fractions and decimals. Examples include height, weight, and distance.
- **Discrete Variables**: These are variables that can only take specific values, often counted in whole numbers. Examples include the number of students in a class, the number of cars in a parking lot, etc.

### Step 2: Analyze the Variable
- The variable in question is "distances covered by a train."

### Step 3: Determine the Nature of the Variable
- Distances are typically measured. For instance, a train can travel 1.5 kilometers, 2.75 kilometers, or any other value that can include fractions or decimals.

### Step 4: Conclusion
- Since the distance covered by a train can take on any value and is measured, it is classified as a **continuous variable**.

### Final Answer
- The distances covered by a train are **continuous**.

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