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If 3 people working together at the same rate can do a job

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Manager
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If 3 people working together at the same rate can do a job [#permalink] New post 20 Jun 2007, 12:25
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A
B
C
D
E

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If 3 people working together at the same rate can do a job in 5 1/3 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
Senior Manager
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 [#permalink] New post 20 Jun 2007, 12:39
I got answer to be 1/8, what's the OA?

Here's my calculation -
Assume x as rate for each
3x = J/(16/3) - J is the job
x = J/16

2x = J/8 or 1/8 job in 1 day
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Re: PS- ratios -good good [#permalink] New post 20 Jun 2007, 12:57
Himalayan wrote:
andrehaui wrote:
If 3 people working together at the same rate can do a job in 5 1/3 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


C. just reverse 5 1/3 or 16/3 to 3/16.


wait a second......... i overlooked two people.

3 people can do 3/16 job in a day.
2 people can do (3/16)(2/3) = 1/8 job in a day.

Corrected to B.
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 [#permalink] New post 20 Jun 2007, 13:09
Another B.

3 people do a in 5 1/3 days:

total man-hours = 3(16/3) = 16

2 people in 1 day:
total man-hours = 2(1) = 2


fraction of total = 2/16 = 1/8.
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 [#permalink] New post 20 Jun 2007, 15:49
Each person is responsible the same proportion of the job. Thus, 2 people will finish 2/3 of the job in 5 1/3 days.

In one day, these two people can finish 1/[5 1/3] of 2/3 of the work

fraction = 1/[16/3] x 2/3 = 3/16 x 2/3 = 1/8

ANSWER: B
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Re: PS- ratios -good good [#permalink] New post 20 Jun 2007, 16:12
andrehaui wrote:
If 3 people working together at the same rate can do a job in 5 1/3 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


I get B.
People, Time, Job
3, 16/3, 1
=>2, 16/3 * 3/2, 1
=>2, 8, 1
=>2, 1, 1/8
Ans = 1/8
Re: PS- ratios -good good   [#permalink] 20 Jun 2007, 16:12
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