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# 5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho  [#permalink]

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28 Jan 2019, 03:38
00:00

Difficulty:

15% (low)

Question Stats:

87% (02:11) correct 13% (02:30) wrong based on 29 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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5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho  [#permalink]

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Updated on: 28 Jan 2019, 05:31
Bunuel wrote:
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

5*6*6/10 = 12*8*x/16
x= 3
IMO E
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Originally posted by Archit3110 on 28 Jan 2019, 04:56.
Last edited by Archit3110 on 28 Jan 2019, 05:31, edited 1 time in total.
Intern
Joined: 23 Oct 2013
Posts: 26
Re: 5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho  [#permalink]

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28 Jan 2019, 05:26
(5*6*6/10)=(12*8*x/16)

x=3days
Intern
Joined: 05 Nov 2017
Posts: 2
Re: 5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho  [#permalink]

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28 Jan 2019, 19:30
1
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")
Re: 5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho   [#permalink] 28 Jan 2019, 19:30
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# 5 men can prepare 10 toys in 6 days working 6 hours a day. then in ho

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