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Bunuel
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho 28 Jan 2019, 04:38
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E
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Question Stats:

82% (02:10) correct 18% (02:35) wrong based on 194 sessions

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5 men can prepare 10 toys in 6 days working 6 hours a day. then in how many days can 12 men prepare 16 toys working 8 hrs a day ?

A. 15
B. 12
C. 10
D. 6
E. 3
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E
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho Updated on: 28 Jan 2019, 06:31
Originally posted by Archit3110 on 28 Jan 2019, 05:56.
Last edited by Archit3110 on 28 Jan 2019, 06:31, edited 1 time in total.
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Bunuel
5 men can prepare 10 toys in 6 days working 6 hours a day. then in how many days can 12 men prepare 16 toys working 8 hrs a day ?

A. 15
B. 12
C. 10
D. 6
E. 3
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5*6*6/10 = 12*8*x/16
x= 3
IMO E
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho 28 Jan 2019, 06:26
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(5*6*6/10)=(12*8*x/16)


x=3days
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho 28 Jan 2019, 20:30
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Given:
(5 Men)(6 hours/day) can produce (10 toys/6 days)
Simplifying...
(30 man-hours/day)(6 days/10 toys) = 180 man-hours required to produce 10 toys
or....
18 man-hours to produce 1 toy


Therefore, assuming the men work at a constant rate of (18 man-hours / 1 toy):
(18 man-hours / 1 toy)(16 toys / 1)(1 / 12 men)(1 day/8 hours) = 3 days

(If you're having trouble following along, ensure that you properly label your ratios and proceed to cancel out the labels to arrive at "days")
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho 12 Sep 2022, 04:32
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Let the work done by 1 man in 1 day working for 1 hour be MDH(an acronym for man days and hour)

Thus, work done by 5 men in 6 days working 6 hours per day = 5*6*6MDH = 180MDH

Now, this work = 10 toys.

Thus, 10 toys = 180 MDH

1 toy = 18 MDH

16 toys = 288 MDH.

Now, 12 men have to prepare 16 toys working 8 hours a day.

Let the total number of days be x.

Thus, 288 MDH = x*12*8 MDH
x = 288/96 = 3.

Thus, the correct option is E.
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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho 09 Oct 2024, 23:24
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