In a 10 overs match, a team has scored runs at rate 7.5 in first 6 overs and 8.5 in next 2 over and scored 42 runs in last 2 over. Find overall run rate of the team in the match.

Options

A. A)`10.40`
B. B)`10.89`
C. C)`10.04 `
D. D)`10.43`

Answer

To find the overall run rate of the team in a 10 overs match, we will follow these steps:

### Step 1: Calculate Runs Scored in the First 6 Overs
The run rate for the first 6 overs is given as 7.5.
To find the total runs scored in the first 6 overs, we multiply the run rate by the number of overs:
\[ \text{Runs in first 6 overs} = 6 \times 7.5 = 45 \]

### Step 2: Calculate Runs Scored in the Next 2 Overs
The run rate for the next 2 overs is given as 8.5.
To find the total runs scored in these 2 overs, we multiply the run rate by the number of overs:
\[ \text{Runs in next 2 overs} = 2 \times 8.5 = 17 \]

### Step 3: Add Runs Scored in the Last 2 Overs
In the last 2 overs, the team scored a total of 42 runs.
So, we will add this to our previous totals:
\[ \text{Runs in last 2 overs} = 42 \]

### Step 4: Calculate Total Runs Scored
Now, we will sum the runs scored in all the overs:
\[ \text{Total Runs} = \text{Runs in first 6 overs} + \text{Runs in next 2 overs} + \text{Runs in last 2 overs} \]
\[ \text{Total Runs} = 45 + 17 + 42 = 104 \]

### Step 5: Calculate Overall Run Rate
The overall run rate is calculated by dividing the total runs scored by the total number of overs played:
\[ \text{Overall Run Rate} = \frac{\text{Total Runs}}{\text{Total Overs}} = \frac{104}{10} = 10.4 \]

Thus, the overall run rate of the team in the match is **10.4**.

---