In the first 30 overs of a cricket match, the run rate was 5.2 runs/over. What Is the required run rate In the remaining 20 overs to reach the target of280 runs ?

Options

A. 6.8
B. 7.4
C. 6.2
D. 5.6

Answer

To solve the problem step by step, we will calculate the required run rate for the remaining overs in the cricket match.

### Step 1: Calculate the total runs scored in the first 30 overs.
Given the run rate for the first 30 overs is 5.2 runs/over, we can find the total runs scored using the formula:

\[ \text{Total Runs} = \text{Run Rate} \times \text{Total Overs} \]

Substituting the values:

\[ \text{Total Runs} = 5.2 \times 30 \]

Calculating this gives:

\[ \text{Total Runs} = 156 \]

### Step 2: Determine the target runs to be scored.
The target for the match is 280 runs. To find out how many runs are still needed, we subtract the runs already scored from the target:

\[ \text{Runs Needed} = \text{Target} - \text{Total Runs} \]

Substituting the values:

\[ \text{Runs Needed} = 280 - 156 \]

Calculating this gives:

\[ \text{Runs Needed} = 124 \]

### Step 3: Calculate the required run rate for the remaining 20 overs.
Now we need to find the required run rate for the remaining 20 overs to score the 124 runs needed. The formula for run rate is:

\[ \text{Run Rate} = \frac{\text{Runs Needed}}{\text{Remaining Overs}} \]

Substituting the values:

\[ \text{Run Rate} = \frac{124}{20} \]

Calculating this gives:

\[ \text{Run Rate} = 6.2 \]

### Conclusion
The required run rate in the remaining 20 overs to reach the target of 280 runs is **6.2 runs/over**.

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