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# If 3 people working together at the same rate can do a job in 16/3 day

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Math Expert
Joined: 02 Sep 2009
Posts: 52905
If 3 people working together at the same rate can do a job in 16/3 day  [#permalink]

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06 Feb 2018, 02:11
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3
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:24) correct 19% (01:28) wrong based on 77 sessions

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If 3 people working together at the same rate can do a job in 16/3 days, what fraction of that job can two of these people do in one day?

(A) 1/16
(B) 1/8
(C) 3/16
(D) 1/2
(E) 2/3

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If 3 people working together at the same rate can do a job in 16/3 day  [#permalink]

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06 Feb 2018, 02:21
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Bunuel wrote:
If 3 people working together at the same rate can do a job in 16/3 days, what fraction of that job can two of these people do in one day?

(A) 1/16
(B) 1/8
(C) 3/16
(D) 1/2
(E) 2/3

If three people can do the job in $$\frac{16}{3}$$ days,
working together, they will do $$\frac{3}{16}$$th of the work in 1 day.

Therefore, 2 of the people would do $$\frac{2}{3}*\frac{3}{16} = \frac{1}{8}$$th of work in a day(Option B)
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Re: If 3 people working together at the same rate can do a job in 16/3 day  [#permalink]

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12 Feb 2018, 16:11
Bunuel wrote:
If 3 people working together at the same rate can do a job in 16/3 days, what fraction of that job can two of these people do in one day?

(A) 1/16
(B) 1/8
(C) 3/16
(D) 1/2
(E) 2/3

We see that the rate of each person is (1/3)/(16/3) = 1/3 x 3/16 = 1/16 of the job per day. Thus two people can finish 2 x 1/16 = 2/16 = 1/8 of the job in one day.

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Re: If 3 people working together at the same rate can do a job in 16/3 day   [#permalink] 12 Feb 2018, 16:11
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