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

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Manager
Joined: 14 Mar 2007
Posts: 235
If 3 people working together at the same rate can do a job [#permalink]

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20 Jun 2007, 13:25
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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
Joined: 21 Jun 2006
Posts: 282

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20 Jun 2007, 13:39
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
Director
Joined: 26 Feb 2006
Posts: 899
Re: PS- ratios -good good [#permalink]

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20 Jun 2007, 13:57
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.
Manager
Joined: 03 Mar 2007
Posts: 163

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20 Jun 2007, 14:09
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.
Director
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait

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20 Jun 2007, 16:49
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

VP
Joined: 10 Jun 2007
Posts: 1438
Re: PS- ratios -good good [#permalink]

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20 Jun 2007, 17:12
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, 17:12
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