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10 men take 30 minutes to wrap 100 articles. How long will it take 40

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Bunuel
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10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   05 Nov 2019, 01:37
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10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


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C
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nick1816
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   05 Nov 2019, 06:21
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\(\frac{E*10*30}{100}\)= \(\frac{E}{2}*\frac{40*T}{200}\)
3=\(\frac{1}{10}*T\)
T=30


Bunuel wrote:
10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


Are You Up For the Challenge: 700 Level Questions
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ScottTargetTestPrep
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   11 Nov 2019, 14:38
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Bunuel wrote:
10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


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The rate of 10 men is 100/30 = 10/3, so the rate of 1 man is (10/3)/10 = 10/30 = 1/3. Since the new team of 40 men is only half as efficient, the rate of 1 man in the new team is ⅙, and hence the rate of 40 men is 40/6 = 20/3.

Thus, it takes the new team 200/(20/3) = 600/20 = 30 minutes to wrap 200 articles.

Answer: C
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   05 Nov 2019, 07:35
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Method 1;

time per article ; 100/30 ; 3.33
time per men ; 3.33/10 ; .33
effici

.33*40 = 13.33
given efficiency is half ; 13.33/2
200*2 /13.3 = 30
IMO C

Method 2
m1*t1/w1= m2*t2/w2

10*30/100 = 1/2 * 40*t2/200
t2 = 30 mins
IMO C



Bunuel wrote:
10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


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anupkumar.patel
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   05 Nov 2019, 13:06
we can use the general equation : n*R*t = W
where n - no. of units/ men/ women/ machine etc
R - rate of the work
t - time required for work (note units of time should be consistent)
W - total work completed (usually taken as 1) - in this it is given as 100 & 200

setting up the equation
nRT = W
10R*30 = 100
R = 1/3
So,
40* 1/3 * t = 200
t = 15 min
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   05 Nov 2019, 23:36
Bunuel wrote:
10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


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40*1/2*(100/300)*t=200
t=30 minutes
C:)
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   24 Jan 2020, 03:26
10 men - 30 minutes - 100 articles - 30/100=3/10 Rate
1 man from the old team - (3/10)/10= 1/3 Rate
1 man from the new team with half the effi. = (1/3)/2 = 1/6
40 men from the new team with new rate = 40/6 = 20/3
The whole new team's timing: 200/(20/3) = 30 minutes - C.
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   24 Jan 2020, 10:39
Bunuel wrote:
10 men take 30 minutes to wrap 100 articles. How long will it take 40 men to wrap 200 articles if the new team is half as efficient?

A. 7.5 minutes
B. 15 minutes
C. 30 minutes
D. 60 minutes
E. 120 minutes


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\(M_1T_1W_2 = M_2T_2W_1\)

\(10*30*200 = 40*T_2*100\)

Or, \(T_2 = 15\), Answer must be (B)
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   31 Jul 2022, 07:21
IF THE TEAM IS HALF AS EFFICIENT :/
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rajchotu02
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10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   31 Jul 2022, 07:52
W1/M1D1=W2/M2D2
So, 100/(10*30)= 200/(40*t)
So, t= 15
But as the new team is half efficient, so t=30 mins (Option C)

Note: Time is inversely proportional to Efficiency
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink] New post   01 Aug 2022, 06:21
When the numbers are simple as these are, should be able to do in your head.

Twice as many articles, twice the time.

But, 4x as many workers, 1/4 the time.

Half as efficient, twice the time.

2*1/4*2 = 1. Same time.

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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40 [#permalink]
01 Aug 2022, 06:21
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