In a 50-over innings, the run rate in the first 40 overs is 4.8 runs per over. What run rate is required in the final 10 overs to reach a target of 241 runs?

Difficulty: Easy

Correct Answer: 4.9 runs per over

Explanation:


Introduction:
Compute runs already scored using the initial run rate and overs, find the remaining runs needed, then divide by the overs left to obtain the required run rate for the end phase of the innings.


Given Data / Assumptions:
Target = 241 runs. First 40 overs at 4.8 runs per over. Remaining overs = 10.


Concept / Approach:
Runs scored = 4.8 * 40. Runs required = target − scored. Required run rate = required runs / 10.


Step-by-Step Solution:
Runs scored = 4.8 * 40 = 192. Runs needed = 241 − 192 = 49. Required rate = 49 / 10 = 4.9 runs per over.


Verification / Alternative check:
At 4.9 for 10 overs you get 49 runs; 192 + 49 = 241, exactly the target.


Why Other Options Are Wrong:
6.7, 6.5, 6.3: Much higher than needed for the remaining overs. 5.4: Overshoots the target; higher than the computed requirement.


Common Pitfalls:
Forgetting that only 10 overs remain, or miscomputing 4.8 * 40. Keep arithmetic precise.


Final Answer:
The required run rate is 4.9 runs per over.

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