Shortcut Trick
Total target = 282 runs
Runs scored in first 10 overs = 10 × 3.2 = 32 runs
Remaining runs to score = 282 − 32 = 250 runs
Required run rate for the remaining 40 overs = 250 ÷ 40 = 6.25
∴ The correct answer is 6.25 runs per over.
Alternate Method
Given:
Target score = 282 runs
Initial overs = 10
Initial run rate = 3.2
Remaining overs = 40
Formula Used:
Total Runs = Overs × Run Rate
Required Run Rate = Remaining Runs ÷ Remaining Overs
Total Target = 282 runs (50 overs)
10 Overs
32 runs
Remaining 40 Overs
250 runs
RR: 3.2
Req. RR = 250 ÷ 40 = 6.25
Calculations:
⇒ Runs scored in first 10 overs = 10 × 3.2 = 32 runs
⇒ Remaining runs = Total target − Runs scored
⇒ Remaining runs = 282 − 32 = 250 runs
⇒ Required run rate = 250 ÷ 40
⇒ Required run rate = 6.25
∴ The correct answer is 6.25 runs per over.
Additional Information
Run Rate
Run rate is defined as the average number of runs a team scores per over. It is calculated as: Run Rate = Total Runs ÷ Total Overs.
Required Run Rate
It is the runs per over needed to win a match during a run chase. Required Run Rate = (Target − Current Score) ÷ Remaining Overs.
Weighted Average Formula
If an innings is divided into multiple phases, the overall run rate can be found using: Combined average = (Overs1 × RR1 + Overs2 × RR2) ÷ Total Overs.