The average run rate of a cricket team during the first 20 overs is 4.5. What should be the asking rate per over for the next 30 overs ,if it has to chase a target of 282 runs in total ?

Options

A. 6.8
B. 6.3
C. 6.4
D. 6

Answer

To solve the problem, we need to determine the asking run rate per over for the next 30 overs, given that the cricket team has a target of 282 runs and has already played 20 overs with an average run rate of 4.5.

### Step-by-Step Solution:

1. **Calculate the total runs scored in the first 20 overs:**
- The average run rate is given as 4.5 runs per over.
- Total runs scored in the first 20 overs = Average run rate × Number of overs
\[ \text{Total runs in first 20 overs} = 4.5 \times 20 = 90 \text{ runs} \]

2. **Determine the total runs needed to win:**
- The target is 282 runs.
- Runs still needed = Total target - Runs scored in first 20 overs
\[ \text{Runs needed} = 282 - 90 = 192 \text{ runs} \]

3. **Calculate the number of overs remaining:**
- The total number of overs in the match is 50.
- Overs remaining = Total overs - Overs played
\[ \text{Overs remaining} = 50 - 20 = 30 \text{ overs} \]

4. **Calculate the asking run rate for the next 30 overs:**
- The asking rate is the runs needed divided by the number of overs remaining.
\[ \text{Asking rate} = \frac{\text{Runs needed}}{\text{Overs remaining}} = \frac{192}{30} \]
- Simplifying this gives:
\[ \text{Asking rate} = 6.4 \text{ runs per over} \]

### Final Answer:
The asking rate per over for the next 30 overs should be **6.4 runs per over**.