Question

Last 10 overs remaining, Bangladesh needs 10 runs per over (a total of 100 runs) to win. At the end of
every passing over, the needed run rate increases by 1. e.g. when 9 overs are remaining, it needs 11
runs per over; in 8 overs it needs 12 runs per over and so on, how much total runs did Bangladesh
need to score in the last 3 overs to win the match ?​

Answer 1

Answer:

51 runs

Step-by-step explanation:

8 overs 12 rpo so 96

then 91 in 7

84 in 6

75 in 5

64 in 4

51 in 3

Answer 2

Answer: Bangladesh would need to score 51 runs in the last three overs to win the match.

Step-by-step explanation:

Total runs required to win the match = 100

Number of overs remaining = 10

Run rate per over = 10

But, the run rate increases by one run every over.

That means,

• at the end of the 11th over, runs remaining to win = 11 times 9 = 99
• at the end of the 12th over, runs remaining to win = 12 times 8 = 96

• at the end of the 13th over, runs remaining to win = 13 times 7 = 91
• at the end of the 14th over, runs remaining to win = 14 times 6 = 84

• at the end of the 15th over, runs remaining to win = 15 times 5 = 75
• at the end of the 16th over, runs remaining to win = 16 times 4 = 64

• at the end of the 17th over, runs remaining to win = 17 times 3 = 51

Thus, 51 runs would be required for the team to win in the last three overs.