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# On Wednesday morning a fortune cookie machine ran continuously at a

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Math Expert
Joined: 02 Sep 2009
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On Wednesday morning a fortune cookie machine ran continuously at a  [#permalink]

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27 Apr 2017, 02:51
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Difficulty:

15% (low)

Question Stats:

80% (01:11) correct 20% (01:31) wrong based on 89 sessions

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On Wednesday morning a fortune cookie machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?

(1) The machine started at 8:30 to complete the 2 hour job.
(2) The machine had filled 1/2 of the order by 9:30 a.m. and 5/6 of the order by 10:10 a.m.

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Re: On Wednesday morning a fortune cookie machine ran continuously at a  [#permalink]

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27 Apr 2017, 10:28
On Wednesday morning a fortune cookie machine ran continuously at a uniform rate to fill a production order.
At what time did it completely fill the order that morning?

(1) The machine started at 8:30 to complete the 2 hour job
Since the machine ran continuously at a uniform rate, and started at 8:30 to complete the 2 hour job.
Time of finishing the order can be found. Hence, sufficient,

(2) The machine had filled 1/2 of the order by 9:30 a.m. and 5/6 of the order by 10:10 a.m.
Since, the machine fills up half(3/6) the order by 9:30am and 5/6 of the order by 10:10 a.m,
we can calculate how much time it takes the machine to finish the order. Hence, sufficient. (Option D)
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Re: On Wednesday morning a fortune cookie machine ran continuously at a  [#permalink]

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01 May 2017, 00:25
IMO B

since we are not given the size of production order so we cant conclude that A will be suffice for answer

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Re: On Wednesday morning a fortune cookie machine ran continuously at a  [#permalink]

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01 May 2017, 04:39
Clearly D

(1) Start at 8:30 takes 2 h to finish the job. Sufficient.

(2) Have done 1/2 of the job by 9:30 and 5/6 by 10:10. Note that it is at a constant uniform rate. So the machine works at a rate of (5/6-3/6)=2/6 per 40 min. Sufficient.

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Re: On Wednesday morning a fortune cookie machine ran continuously at a &nbs [#permalink] 01 May 2017, 04:39
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