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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
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What do you mean ?? about numbers
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
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I am just guessing.

so just take - a produced in 15 min
b produced in c Hrs

hence, c hrs into 60c min

eqn becomes - a-------15
b-------60c
Its easier to take c as 1
so if a is 5 and multiplied by 3 gives 15 (5*3= 15)

therefore, b * 3= 60
b= 20

a=5, c=1, b=20 for completing an equation and moreover any other value taken for a,b,c would be a multiple of 5,1,20 resp.
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
b = 4a, so
4a , 3ac => 4, 3c
so the two quantities have different result for smaller c and larger c,
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
babatee wrote:
sandy wrote:
Explanation

Plug in values.

If a = 5 and c = 1, then b = 20. In that situation Quantity A is larger; eliminate choices (B) and (C).

Plug In again to see if this is always the case. If a = 100 and c = 2, then b = 800.

Quantity A is still larger. There isn’t anything else you can try that would change the values, so choice A is the best answer.


How did you go about picking the numbers to plug in?


I'm wondering if this is a misprint. I have the text book and I've noticed a number of misprints that I had to check with other sources. I'd be wary though. Its far more likely that there is some subtle detail we are missing. I still don't understand this question. The explanation on this site is copied from the textbook and I don't see how they're getting "A" as the answer. I can pick numbers that make "B" the answer as well so I'm unsure how they are rationalizing it. Please someone help
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
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The machine produces 1 bolt (a) in 15 min. Thus, it produces 4 bolts (b) in 1 hour (c) (not in minutes).
Option A: 4
Option B: 3*1*1 = 3
So option A is greater.

After reading the comments I noticed that, many people are converting c from hours to minutes. That is not necessary to do here. Unless and until it is stated in the question that give your answer in bolts produced per minute, then only we need to convert. Since, in this question nothing like that is stated, just substitute the value of c and a as is.
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
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okay so firstly never assume anything is an integer unless clearly implied or explicitly stated. In this case, C is not necessarily an integer you can say 0.5 hours also.

here is an easy method to solve algebraically without any doubts:
b bolts will be produced in 60c minutes and b bolts will also be produced in 15b/a minutes so 60c = 15b/a b=4ac 4ac > 3ac since ac is positive. answer A
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
Sharanjay wrote:
okay so firstly never assume anything is an integer unless clearly implied or explicitly stated. In this case, C is not necessarily an integer you can say 0.5 hours also.

here is an easy method to solve algebraically without any doubts:
b bolts will be produced in 60c minutes and b bolts will also be produced in 15b/a minutes so 60c = 15b/a b=4ac 4ac > 3ac since ac is positive. answer A

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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
Turtletobb wrote:
babatee wrote:
sandy wrote:
Explanation

Plug in values.

If a = 5 and c = 1, then b = 20. In that situation Quantity A is larger; eliminate choices (B) and (C).

Plug In again to see if this is always the case. If a = 100 and c = 2, then b = 800.

Quantity A is still larger. There isn’t anything else you can try that would change the values, so choice A is the best answer.


How did you go about picking the numbers to plug in?


I'm wondering if this is a misprint. I have the text book and I've noticed a number of misprints that I had to check with other sources. I'd be wary though. Its far more likely that there is some subtle detail we are missing. I still don't understand this question. The explanation on this site is copied from the textbook and I don't see how they're getting "A" as the answer. I can pick numbers that make "B" the answer as well so I'm unsure how they are rationalizing it. Please someone help


You are always safe to pick up any random number that you want in case of any algebric equation to avoid. I do not think there is any issue as you mentioned. COuld you be more specific, please?
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Re: A machine works at a constant rate and produces a bolts in 1 [#permalink]
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