An office opens at 10 AM and closes at 5 PM. The lunch Interval is for 30 minutes. The ratio of lunch Interval to the total period of office hours is:

Options

A. `1:7`
B. `1:14`
C. `7:1`
D. `14:1`

Answer

To find the ratio of the lunch interval to the total period of office hours, we can follow these steps:

### Step 1: Calculate the total office hours
The office opens at 10 AM and closes at 5 PM. To find the total office hours, we subtract the opening time from the closing time.

- **Total office hours = Closing time - Opening time**
- **Total office hours = 5 PM - 10 AM**

To convert this into hours:
- From 10 AM to 5 PM is 7 hours.

### Step 2: Convert the lunch interval into hours
The lunch interval is given as 30 minutes. We need to convert this into hours for consistency with the total office hours.

- **Lunch interval in hours = 30 minutes = 30/60 hours = 0.5 hours**

### Step 3: Calculate the ratio of lunch interval to total office hours
Now we can find the ratio of the lunch interval to the total office hours.

- **Ratio = Lunch interval / Total office hours**
- **Ratio = 0.5 hours / 7 hours**

### Step 4: Simplify the ratio
To simplify the ratio, we can express it as a fraction:

- **Ratio = 0.5 / 7 = 1 / 14**

### Final Answer
The ratio of the lunch interval to the total period of office hours is **1:14**.

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