In a 50-over innings, the run rate in the first 45 overs is 5.8 runs per over. What run rate is required in the remaining 5 overs to reach a target of 295 runs?

Difficulty: Easy

Correct Answer: 6.8 runs per over

Explanation:


Introduction:
Cricket run-rate problems combine totals and rates. Compute runs already scored, subtract from the target, and divide by remaining overs to get the required rate.


Given Data / Assumptions:
Target runs = 295. First 45 overs at 5.8 runs per over. Remaining overs = 5.


Concept / Approach:
Runs scored so far = run rate * overs = 5.8 * 45. Required runs = target − scored. Required run rate = required runs / remaining overs.


Step-by-Step Solution:
Runs scored = 5.8 * 45 = 261. Runs needed = 295 − 261 = 34. Required rate = 34 / 5 = 6.8 runs per over.


Verification / Alternative check:
At 6.8 for 5 overs you get 34 runs; 261 + 34 = 295, hitting the target exactly.


Why Other Options Are Wrong:
6.6, 6.7: Fall short of the needed 34 runs in 5 overs. 6.9, 7.2: Overshoot the target; higher than necessary.


Common Pitfalls:
Rounding 5.8 * 45 incorrectly or forgetting to use the remaining overs (5, not 50 − 45 wrongly reapplied).


Final Answer:
The required run rate is 6.8 runs per over.

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