The average daily rainfall of town A is 105 for first 2 days of the week, 84 for next 3 days and 49 for the last 2 days of the week. The total weekly rainfall for town B is 455. What will be the average daily rainfall of both the towns together?

Options

A. 138
B. 152
C. 159
D. 145

Answer

To find the average daily rainfall of both towns A and B together, we will follow these steps:

### Step 1: Calculate the total rainfall for Town A
- For the first 2 days, the average rainfall is 105.
- For the next 3 days, the average rainfall is 84.
- For the last 2 days, the average rainfall is 49.

**Calculation:**
1. Total rainfall for the first 2 days = 105 * 2 = 210
2. Total rainfall for the next 3 days = 84 * 3 = 252
3. Total rainfall for the last 2 days = 49 * 2 = 98

**Total rainfall for Town A:**
\[ \text{Total Rainfall} = 210 + 252 + 98 = 560 \]

### Step 2: Calculate the average daily rainfall for Town A
- Total rainfall for Town A = 560
- Number of days = 7

**Calculation:**
\[ \text{Average Rainfall for Town A} = \frac{560}{7} = 80 \]

### Step 3: Calculate the average daily rainfall for Town B
- Total rainfall for Town B = 455
- Number of days = 7

**Calculation:**
\[ \text{Average Rainfall for Town B} = \frac{455}{7} \approx 65 \]

### Step 4: Calculate the combined average daily rainfall for both towns
- Average rainfall for Town A = 80
- Average rainfall for Town B = 65

**Calculation:**
\[ \text{Combined Average} = \frac{80 + 65}{2} = \frac{145}{2} = 72.5 \]

### Final Answer
The average daily rainfall of both towns together is **72.5**.

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