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

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Math Expert
Joined: 02 Sep 2009
Posts: 60647
10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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05 Nov 2019, 01:37
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Difficulty:

45% (medium)

Question Stats:

61% (01:28) correct 39% (01:54) wrong based on 109 sessions

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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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Location: India
Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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05 Nov 2019, 06:21
$$\frac{E*10*30}{100}$$= $$\frac{E}{2}*\frac{40*T}{200}$$
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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Joined: 18 Aug 2017
Posts: 5730
Location: India
Concentration: Sustainability, Marketing
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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05 Nov 2019, 07:35
1
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

Are You Up For the Challenge: 700 Level Questions
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Joined: 12 Mar 2017
Posts: 9
Location: India
Anup: Patel
Concentration: Strategy, Economics
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WE: Education (Education)
Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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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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Joined: 10 Dec 2017
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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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

Are You Up For the Challenge: 700 Level Questions

40*1/2*(100/300)*t=200
t=30 minutes
C:)
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Affiliations: Target Test Prep
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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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11 Nov 2019, 14:38
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

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.

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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40  [#permalink]

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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]

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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

Are You Up For the Challenge: 700 Level Questions

$$M_1T_1W_2 = M_2T_2W_1$$

$$10*30*200 = 40*T_2*100$$

Or, $$T_2 = 15$$, Answer must be (B)
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Abhishek....

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Re: 10 men take 30 minutes to wrap 100 articles. How long will it take 40   [#permalink] 24 Jan 2020, 10:39
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