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In the India-Australia one day match, due to rain, India needed 324 runs in 48 overs to win.In initial 10 overs, the average scoring rate was 6, but in next 10 overs it increased to 8.5.It then declined to 5.5 in next 10 overs and again rose to 7 in next 10 overs.To win the match now what average is needed?8.256.757.757.0

Question

In the India-Australia one day match, due to rain, India needed 324 runs in 48 overs to win.In initial 10 overs, the average scoring rate was 6, but in next 10 overs it increased to 8.5.It then declined to 5.5 in next 10 overs and again rose to 7 in next 10 overs.To win the match now what average is needed?8.256.757.757.0

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Solution

To solve this problem, we need to calculate the total runs scored in each set of 10 overs and then subtract that from the total runs needed to find out how many runs are still needed. Then we divide that by the number of overs left to find the required run rate.

  1. In the first 10 overs, the scoring rate was 6 runs per over. So, total runs scored = 6 runs/over * 10 overs = 60 runs.

  2. In the next 10 overs, the scoring rate increased to 8.5 runs per over. So, total runs scored = 8.5 runs/over * 10 overs = 85 runs.

  3. In the next 10 overs, the scoring rate declined to 5.5 runs per over. So, total runs scored = 5.5 runs/over * 10 overs = 55 runs.

  4. In the next 10 overs, the scoring rate rose to 7 runs per over. So, total runs scored = 7 runs/over * 10 overs = 70 runs.

  5. Add up all the runs scored in these 40 overs: 60 runs + 85 runs + 55 runs + 70 runs = 270 runs.

  6. Subtract this from the total runs needed to win the match: 324 runs - 270 runs = 54 runs.

  7. There are 8 overs left in the match (48 overs - 40 overs = 8 overs).

  8. To find the required run rate, divide the runs still needed by the number of overs left: 54 runs / 8 overs = 6.75 runs per over.

So, to win the match, India needs to score at an average rate of 6.75 runs per over in the remaining 8 overs.

This problem has been solved

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