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I think the question has asked that the number of days be 10 as constant and out of those 10 days how many days 20 cars need to be produced so as to take the average to 12.

Correct me if I am wrong.


ahmedrady
The answer is B,

for the average to be 12 you need the total number of produced cars divided by the total number of days to be 12.
Hence, (10*10+20*x)/(x+10)=12
10*10+20*x= 12(x+10)
By solving this equation x will yield 2.5
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IMO, They mentioned that they have already produced those cars in the "last" 10 days and now they are looking to increase the average by increasing the cars/ day.
They are not looking for an alternative scenario within the same 10 days.

APram
I think the question has asked that the number of days be 10 as constant and out of those 10 days how many days 20 cars need to be produced so as to take the average to 12.

Correct me if I am wrong.


ahmedrady
The answer is B,

for the average to be 12 you need the total number of produced cars divided by the total number of days to be 12.
Hence, (10*10+20*x)/(x+10)=12
10*10+20*x= 12(x+10)
By solving this equation x will yield 2.5
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­A team of automotive machines have produced an average of 10 cars per day during the last 10 days. For how many days would the machines have to average 20 cars per day to raise the overall average to 12 cars per day?

(10*10+ 20*x)/(10+x) = 12
100+20x= 12(10+x)
100+ 20x = 120+12x
8x=20
x=20/8=2.5

Answer: B
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Thinking logically, any day 20 cars are added, they have 8 extra from the average and compensates the deficit for 4 days.

We need to fix it for 10 days = 10/4 = 2.5days worth of 20cars/day avg required.
Bunuel
­A team of automotive machines have produced an average of 10 cars per day during the last 10 days. For how many days would the machines have to average 20 cars per day to raise the overall average to 12 cars per day?

A) 2
B) 2.5
C) 3
D) 3.5
E) 4­


This is a PS Butler Question

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Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
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The wording of the questions is tricky, shouldn't it say for how many MORE days?

Saying "For how many days would the machines have to average 20 cars per day to raise the overall average to 12 cars per day?" would mean we stick to the same 1o day period mentioned at the start of the question.
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please explain this ans. thanks
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dolor
please explain this ans. thanks

There are several replies above. Have you checked those?
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