A telephone bill costs Rs.35.50 for 3 minutes 20 seconds What is the cost, in rupees, for 5 minutes 30 seconds? (Round up to one decimal)

Options

A. 58.6
B. 58.7
C. 58.5
D. 58.8

Answer

To find the cost of a telephone bill for 5 minutes and 30 seconds based on the given information, we will follow these steps:

### Step 1: Convert the time into seconds
First, we need to convert both time durations into seconds.

- **3 minutes 20 seconds**:
- 3 minutes = 3 × 60 = 180 seconds
- Total = 180 seconds + 20 seconds = 200 seconds

- **5 minutes 30 seconds**:
- 5 minutes = 5 × 60 = 300 seconds
- Total = 300 seconds + 30 seconds = 330 seconds

### Step 2: Determine the cost per second
Next, we need to calculate the cost per second based on the initial bill.

- The bill for 200 seconds is Rs. 35.50.
- Cost per second = Total cost / Total seconds
- Cost per second = 35.50 / 200 = Rs. 0.1775 (approximately)

### Step 3: Calculate the cost for 330 seconds
Now, we will calculate the cost for 330 seconds using the cost per second we just calculated.

- Cost for 330 seconds = Cost per second × Total seconds
- Cost for 330 seconds = 0.1775 × 330 = Rs. 58.575

### Step 4: Round the answer to one decimal place
Finally, we need to round the answer to one decimal place.

- Rs. 58.575 rounded to one decimal place is Rs. 58.6.

### Final Answer
The cost for 5 minutes and 30 seconds is **Rs. 58.6**.

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