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Bunuel
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If 3 people working together at the same rate can do a job in 16/3 day 06 Feb 2018, 03:11
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78% (01:28) correct 22% (01:40) wrong based on 219 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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B
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pushpitkc
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If 3 people working together at the same rate can do a job in 16/3 day 06 Feb 2018, 03:21
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Bunuel
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 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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If 3 people working together at the same rate can do a job in 16/3 day 12 Feb 2018, 17:11
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Bunuel
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
Show more

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.

Answer: B
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If 3 people working together at the same rate can do a job in 16/3 day 23 Sep 2024, 05:34
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pushpitkc
Bunuel
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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Could you please elaborate more on " working together, they will do \(\frac{3}{16}\)th of the work in 1 day." and on how you arrived at this?
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Bunuel
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If 3 people working together at the same rate can do a job in 16/3 day 23 Sep 2024, 06:29
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abini
pushpitkc
Bunuel
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)
Could you please elaborate more on " working together, they will do \(\frac{3}{16}\)th of the work in 1 day." and on how you arrived at this?
Show more

The rate is the reciprocal of time, so if 3 people working together can complete a job in 16/3 days (time), their combined rate is 3/16 of the job per day. With 2 people, or 2/3 of the workforce, they will do 2/3 of the job in one day, which is 2/3 * 3/16 = 1/8 of the job per day.

Hope it's clear.
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