MDTV is a very popular TV channel. It telecasts the programmers from 8:00 a.m. to 12:00 p.m. It telecasts 60 advertisements each of 8 seconds and 16 advertisements each of 30 seconds. What is the percentage of time devoted in a day for the advertisements?

Options

A. `1.5%`
B. `6.66%`
C. `0.02%`
D. `2.5%`

Answer

To solve the problem, we will follow these steps:

### Step 1: Calculate the total time of the TV program
The TV program runs from 8:00 a.m. to 12:00 p.m. This is a total of 4 hours.

**Calculation:**
Total time in hours = 12:00 p.m. - 8:00 a.m. = 4 hours

**Hint:** Remember that there are 60 minutes in an hour.

### Step 2: Convert the total time into seconds
To find the total time in seconds, we convert hours into minutes and then minutes into seconds.

**Calculation:**
Total time in seconds = 4 hours × 60 minutes/hour × 60 seconds/minute
= 4 × 60 × 60
= 14400 seconds

**Hint:** Multiplying by 60 twice helps convert hours to seconds.

### Step 3: Calculate the total advertisement time
Next, we need to calculate the total time spent on advertisements. There are two types of advertisements: 60 advertisements of 8 seconds each and 16 advertisements of 30 seconds each.

**Calculation:**
Time for 8-second advertisements = 60 × 8 = 480 seconds
Time for 30-second advertisements = 16 × 30 = 480 seconds
Total advertisement time = 480 seconds + 480 seconds = 960 seconds

**Hint:** Break down the calculation into parts for clarity.

### Step 4: Calculate the percentage of time devoted to advertisements
To find the percentage of time devoted to advertisements, we will use the formula:

\[ \text{Percentage} = \left( \frac{\text{Total advertisement time}}{\text{Total program time}} \right) \times 100 \]

**Calculation:**
Percentage = \(\left( \frac{960}{14400} \right) \times 100\)
= \(0.06667 \times 100\)
= 6.67%

**Hint:** Remember to multiply by 100 to convert the fraction into a percentage.

### Final Answer:
The percentage of time devoted in a day for the advertisements is **6.67%**.

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