A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

Options

A. A) 150
B. B) 160
C. C) 170
D. D) 180

Answer

To solve the problem, we need to determine how much B paid for the car hire based on the time each person used it.

### Step-by-Step Solution:

1. **Identify the time each person used the car:**
- A used the car for 7 hours.
- B used the car for 8 hours.
- C used the car for 11 hours.

2. **Calculate the total hours used:**
\[ \text{Total hours} = 7 + 8 + 11 = 26 \text{ hours} \]

3. **Determine the ratio of hours used:**
- The ratio of hours used by A, B, and C is:
\[ A : B : C = 7 : 8 : 11 \]

4. **Calculate the share of B in the total hire charges:**
- The total hire charges are Rs. 520.
- B's share of the total hours is 8 hours.
- To find B's share of the charges, we use the formula:
\[ \text{B's share} = \left(\frac{\text{B's hours}}{\text{Total hours}}\right) \times \text{Total charges} \]
\[ \text{B's share} = \left(\frac{8}{26}\right) \times 520 \]

5. **Calculate B's share:**
- First, simplify the fraction:
\[ \frac{8}{26} = \frac{4}{13} \]
- Now calculate B's share:
\[ \text{B's share} = \frac{4}{13} \times 520 = \frac{2080}{13} = 160 \]

6. **Final answer:**
- Therefore, the hire charges paid by B were Rs. 160.