avg q8

Truthfully I don't see an analytical approach to calculating the answer. However, since this is a multiple-choice, we can do trial and error.
Suppose (44+y) = 50 , 55, 60 then x = -16,-3.5, 9 using (141+x)/(44+y)=2.5. Since x can't be negative, 60 overs is the only plausible answer.
This means the second partnership scored 9 runs/ 16 overs. It follows, Telkundar has 30overs to score (360-141-9)=210 runs to win.
Telkundar needs a 210/30=7runs/over to win the game. What troubles me is that when y=61, Telkundar still only requires a run rate of 7.155runs/over. It is not until y=66(after 65 overs) that the required run rate is >8 when Telkudnar can't win.
After 65 overs [imath]\neq[/imath] After 60 overs
 
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BigBeachBananas said:
(141+x)/(44+y)=2.5.
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i see that one can write

Avg run rate per over of second partnership = x / y

Avg Run rate per over of two partnerships
2.5 = (Avg run rate per over of first partnership + Avg run rate per over of second partnership ) / 2


2.5 = ( 3.2 + x / y ) / 2 <--- is this right ?


( 3.2y + x ) / 2y = 2.5

3.2y - 5y + x = 0

y = x / 1.8
 
Saumyojit said:
i see that one can write

Avg run rate per over of second partnership = x / y

Avg Run rate per over of two partnerships
2.5 = (Avg run rate per over of first partnership + Avg run rate per over of second partnership ) / 2


2.5 = ( 3.2 + x / y ) / 2 <--- is this right ?


( 3.2y + x ) / 2y = 2.5

3.2y - 5y + x = 0

y = x / 1.8
Click to expand...
As I mentioned before, when you're doing a simple average, you're assuming that #over in partnership#1=partnership#2. We don't know that.
[math]3.2(\frac{44}{44+44})+z(\frac{44}{44+44})=\frac{3.2+z}{2}=2.5[/math]Notice you assumed y=44 by doing such calculation. Instead it should be something like this:
[math]3.2(\frac{44}{44+y})+z(\frac{y}{44+y})=2.5[/math]You have 2 equations and 3 unknowns (x,y,z). I don't think there's enough information to solve it algebraically. I can't think of anything else besides trial and error.
 
BigBeachBananas said:
when you're doing a simple average, you're assuming that #over in partnership#1=partnership#2.
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got it .

BigBeachBananas said:
What troubles me is that when y=61, Telkundar still only requires a run rate of 7.155runs/over. It is not until y=66(after 65 overs) that the required run rate is >8 when Telkudnar can't win.
After 65 overs ≠\neq= After 60 overs
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did not understand
 
Saumyojit said:
did not understand
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My mistake, what I meant is (44+y)=61, not y=61. If you look at the table below, after 60 overs (i.e. at 61-65), the required run rate is <8, which is still possible for Telkundar to win because he can bat aggressively at 8runs/over. It is not until (44+y)=66 (after 65 overs) the required run rate to win is >8. At this point, Telkundar can no longer win because the necessary rate is >8, which is beyond his capability. The answer should be after 65 overs, which does not match any choices.
Screen Shot 2021-12-28 at 10.22.27 AM.png
 
BigBeachBananas said:
My mistake, what I meant is (44+y)=61, not y=61. If you look at the table below, after 60 overs (i.e. at 61-65), the required run rate is <8, which is still possible for Telkundar to win because he can bat aggressively at 8runs/over. It is not until (44+y)=66 (after 65 overs) the required run rate to win is >8. At this point, Telkundar can no longer win because the necessary rate is >8, which is beyond his capability. The answer should be after 65 overs, which does not match any choices
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yeah i got it but latest time means as early as possible . So , after 60 .
 
Saumyojit said:
this is the ans given
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The more I think about it, the answer choices don't make sense. "After 60 overs is the latest time Telkundar can join and still win." Well, after 60 overs can be the 90th over. Can he still win when he bats once on the 90th over? Obviously not.
 
BigBeachBananas said:
The more I think about it, the answer choices don't make sense. "After 60 overs is the latest time Telkundar can join and still win." Well, after 60 overs can be the 90th over. Can he still win when he bats once on the 90th over? Obviously not.
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after 60 overs means 60.1 to 60 .6 i.e 61

after 60 overs means just the next over
 
Saumyojit said:
after 60 overs means 60.1 to 60 .6 i.e 61

after 60 overs means just the next over
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I strongly disagree. If your friend tells you he'll come over after 6 pm, does it mean 6:15 pm, 6:40 pm? It could mean any time as long as it's after 6 pm e.g 10 pm or 11 pm
 
Saumyojit said:
Who delete this ?
This is a follow up question .

View attachment 30387

Tendulkar along with someone in 3rd partnership will score x runs in y overs .

in q43 , ( 141 + 9 + x ) / ( 44 + 16 + y ) = Avg Run rate per over till 3rd partnership broke .

The runs that tendulkar will score will be a multiple of 8 in 3rd and 4th partnership both .
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@Subhotosh Khan deleted the post and requested you to start a new thread. I hope you got his memo.
 
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