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Is the number of workers required to create w1 widgets at r1 widgets p

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Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 13 Mar 2017, 22:25
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Is the number of workers required to create w1 widgets at r1 widgets per minute less than the number of workers required to create w2 widgets at r2 widgets per minute?

(1) w1 is 20 less than w2.
(2) r1 is 20 less than r2.

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Re: Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 15 Mar 2017, 05:17
1
let n1 and n2 be the no of workers to produce widget w1 and w2 respectively
w1 = n1 r1
w2 = n2 r2

St 1: w2 = w1 +20. INSUFFICIENT as we dont have any comparison between r1 and r2
St 2: r2 = r1 +20. INSUFFICIENT as we dont have any comparison between w1 and w2

St 1 & St 2: replacing w2 and r2 we get
w1+20 = n2(r1+20)
or n1 r1 +20 = n2 r1 +n2*20
n1 r1 -n2 r1 = n2*20 - 20
or r1(n1-n2) = 20(n2-1)

if n2 =1, RHS will be 0.therefore n1-n2= 0. or n1=n2=1

if n2>1. n1-n2>0 or n1>n2.

but n1 cannot be less than n2


Option C
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Re: Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 15 Mar 2017, 08:47
SajjadAhmad wrote:
Is the number of workers required to create w1 widgets at r1 widgets per minute less than the number of workers required to create w2 widgets at r2 widgets per minute?

(1) w1 is 20 less than w2.
(2) r1 is 20 less than r2.


is it E because the worker's number is not occuring in any of the equations?
I assumed if w1<w2 and R1<R2 then we will definitely need less workers.
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Re: Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 06 May 2017, 23:22
SajjadAhmad wrote:
Is the number of workers required to create w1 widgets at r1 widgets per minute less than the number of workers required to create w2 widgets at r2 widgets per minute?

(1) w1 is 20 less than w2.
(2) r1 is 20 less than r2.


chetan2u pls check my explanation.

**since here in both cases ( a and b) kind of widgets are same, until not specified and productivity of the every worker is also same, as we consider under men-women-work-time problems, we can easily proceed with statement 2 which says r1 is 20 widgets less per minute than r2 now if every worker can create 4 widgets per minute then in case A 4 less workers would be required.

Statement1 really doesn't matter as if w1 is less than w2 it is not specified in how much time you need to create all the widgets in each of the case a and b.

the only point here which is of most important is rate of widgets creation per minute, if productivity of worker is same, then in case A with the help of statement 2 we can fully give a satisfied answer.
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Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 07 May 2017, 07:18
Since statement 1 contains only the number of widgets and
statement 2 contains only the number of workers, each of the statements individually cant lead us to a solution
Combining both the equations
Assuming some numbers.
If w1 = 100 widgets, then w2 = 120 widgets
If r1 = 10 widgets/minute, then r2 = 30 widgets/minute
It will take 1 worker 10 minutes to create w1 in a minute, where as the same worker will take 4 minutes to do w2.

But
If w1 = 10 widgets, then w2 = 30 widgets
If r1 = 20 widgets per minute ,then r2 = 40 widgets per minute
It will take 1 worker 30s to create w1 in a minute, where as the same worker will take 45s to do w2.

Hence if w1 > r1, we will get need more workers to do the work
Similarly, if w1 < r1 we will need less workers to do the work(Option E)
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Re: Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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New post 11 Jul 2017, 05:56
SajjadAhmad wrote:
Is the number of workers required to create w1 widgets at r1 widgets per minute less than the number of workers required to create w2 widgets at r2 widgets per minute?

(1) w1 is 20 less than w2.
(2) r1 is 20 less than r2.


a) We don't know r1 and r2 so insufficient
b) We don't know w1 and w2 so insufficient
c) On combining we still don't know the time in which w1 and w2 is done at r1 and r2 ates. So still we won't be able to evaluate the no. of workers required for each of the work.


So e!
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Re: Is the number of workers required to create w1 widgets at r1 widgets p  [#permalink]

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Re: Is the number of workers required to create w1 widgets at r1 widgets p &nbs [#permalink] 14 Jul 2018, 03:07
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