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by candela.tartiere » Thu Apr 11, 2013 12:38 am
If it takes 12 h working independently 3 h to make 500 boxes, how many minutes should it take for 16 workers to make 300 boxes?

A) 60
B) 72
C) 81
D) 98
E) 240
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by Anju@Gurome » Thu Apr 11, 2013 12:50 am
The question doesn't make any sense.
It think it should be as follows...
candela.tartiere wrote:If it takes 12 workers working independently 3 hours to make 500 boxes, how many minutes should it take for 16 workers to make 300 boxes?
For 500 boxes, we need 12*3 = 36 worker-hours
For 300 boxes, we'll need (36/500)*300 = 3*36/5 worker=hours = (16 workers)*(3*36/5*16 hours)

3*36/5*16 hours = 3*36*60/5*16 minutes = 3*9*3 minutes = 81 minutes

The correct answer is C.
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by GMATGuruNY » Thu Apr 11, 2013 3:27 am
candela.tartiere wrote:If it takes 12 workers 3 hours to make 500 boxes, how many minutes will it take 16 workers to make 300 boxes?

A) 60
B) 72
C) 81
D) 98
E) 240
Use the following proportion:
(workers)(time) / work = (workers)(time) / work

(12)(3) / 500 = (16)(x) / 300

36/500 = (16x)/300

8000x = 10800

80x = 108

x = 108/80 = 27/20 hours.

Since each hour is composed of 60 minutes, the number of minutes = (27/20)(60) = 81 minutes.

The correct answer is C.
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