Namrata andRabia had some conversation through messages. Namrata has sent n messages in 1 hours and Rabia has sent r messages in equal amount of time. Which of the following represents the total number of messages sent in 3 hours?

Options

A. 6nr
B. `6(6n+r)`
C. `3(n+r)`
D. `9nr`

Explanation

To solve the problem, we need to determine the total number of messages sent by Namrata and Rabia in 3 hours, given that Namrata sends \( n \) messages in 1 hour and Rabia sends \( r \) messages in the same amount of time.

### Step-by-Step Solution:

1. **Identify Messages Sent in 1 Hour**:
- Namrata sends \( n \) messages in 1 hour.
- Rabia sends \( r \) messages in 1 hour.

2. **Calculate Messages Sent in 3 Hours**:
- In 3 hours, Namrata will send:
\[ 3 \times n = 3n \text{ messages} \]
- In 3 hours, Rabia will send:
\[ 3 \times r = 3r \text{ messages} \]

3. **Total Messages Sent in 3 Hours**:
- To find the total number of messages sent by both Namrata and Rabia in 3 hours, we add the messages sent by both:
\[ \text{Total messages} = 3n + 3r \]

4. **Final Expression**:
- Therefore, the total number of messages sent in 3 hours is:
\[ 3n + 3r \]

### Conclusion:
The total number of messages sent in 3 hours is represented by the expression \( 3n + 3r \).