An AC consumes 8 units of electricity in 30 minutes and a bulb consumes 18 units of electricity in 6 hours. How much total unit of electricity will both AC and bulb consume in 8 days if they run 10 hours a day ?

Options

A. 1280 units
B. 1528 units
C. 1248 units
D. 1520 units

Answer

To solve the problem, we need to calculate the total electricity consumption of both the AC and the bulb over a period of 8 days, running for 10 hours each day.

### Step-by-step Solution:

1. **Calculate the AC's consumption per hour:**
- The AC consumes 8 units in 30 minutes.
- Since there are 60 minutes in an hour, the AC will consume:
\[ \text{Units in 1 hour} = 8 \text{ units} \times 2 = 16 \text{ units} \]

2. **Calculate the bulb's consumption per hour:**
- The bulb consumes 18 units in 6 hours.
- To find the consumption per hour, we divide the total units by the number of hours:
\[ \text{Units in 1 hour} = \frac{18 \text{ units}}{6 \text{ hours}} = 3 \text{ units} \]

3. **Calculate the total hours of operation in 8 days:**
- The AC and bulb run for 10 hours each day for 8 days:
\[ \text{Total hours} = 10 \text{ hours/day} \times 8 \text{ days} = 80 \text{ hours} \]

4. **Calculate the total consumption of the AC over 80 hours:**
- The total consumption of the AC is:
\[ \text{Total AC consumption} = 16 \text{ units/hour} \times 80 \text{ hours} = 1280 \text{ units} \]

5. **Calculate the total consumption of the bulb over 80 hours:**
- The total consumption of the bulb is:
\[ \text{Total bulb consumption} = 3 \text{ units/hour} \times 80 \text{ hours} = 240 \text{ units} \]

6. **Calculate the total consumption of both AC and bulb:**
- Now, we add the total consumption of both:
\[ \text{Total consumption} = 1280 \text{ units} + 240 \text{ units} = 1520 \text{ units} \]

### Final Answer:
The total unit of electricity consumed by both the AC and the bulb in 8 days is **1520 units**.

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