Required Run Rate for Remaining 40 Overs to Reach 282 Runs

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

To determine the required run rate for the remaining 40 overs to reach the target of 282 runs, we need to follow these steps:

1. Calculate the total runs scored in the first 10 overs.
2. Subtract the runs scored in the first 10 overs from the target to find the remaining runs needed.
3. Divide the remaining runs by the number of overs left to find the required run rate for the remaining overs.

Let's go through these steps:

1. Calculate the total runs scored in the first 10 overs: The run rate in the first 10 overs was 3.2 runs per over. Total runs scored in the first 10 overs = Run rate × Number of overs [ \text{Total runs scored in the first 10 overs} = 3.2 \times 10 = 32 \text{ runs} ]

2. Calculate the remaining runs needed: The target is 282 runs. Remaining runs needed = Target - Runs scored in the first 10 overs [ \text{Remaining runs needed} = 282 - 32 = 250 \text{ runs} ]

3. Calculate the required run rate for the remaining 40 overs: Number of overs left = 40 Required run rate = Remaining runs needed / Number of overs left [ \text{Required run rate} = \frac{250}{40} = 6.25 \text{ runs per over} ]

Therefore, the required run rate in the remaining 40 overs to reach the target of 282 runs is 6.25 runs