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# Four staff members at a certain company worked on a project.

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Manager
Joined: 01 Nov 2007
Posts: 101
Followers: 1

Kudos [?]: 26 [0], given: 0

Four staff members at a certain company worked on a project. [#permalink]  02 Apr 2008, 04:18
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Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of four staff members worked on the project for 30 hours, which of the following cannot be the total number of hours that the four staff members worked on the project?

A 80 B 96 C 160 D 192 E 240

I solved this qs bt it took me some time, please advise shortcut to this problem.
Manager
Joined: 02 Mar 2008
Posts: 211
Concentration: Finance, Strategy
Followers: 1

Kudos [?]: 40 [0], given: 1

Re: PS (ratio) [#permalink]  02 Apr 2008, 04:27
totally u have 2+3+5+6=16 parts
So 30/result must be either in the form of 2/16,3/16,5/16 or 6/16
try the result and find... not so sure how you solved the prob
Anyone got better method?
SVP
Joined: 29 Aug 2007
Posts: 2493
Followers: 59

Kudos [?]: 579 [1] , given: 19

Re: PS (ratio) [#permalink]  02 Apr 2008, 12:40
1
KUDOS
az780 wrote:
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of four staff members worked on the project for 30 hours, which of the following cannot be the total number of hours that the four staff members worked on the project?

A 80 B 96 C 160 D 192 E 240

I solved this qs bt it took me some time, please advise shortcut to this problem.

D. 192.

total = 2+3+5+6 = 16

if 30 hours is workedby a worker whose ration is 2, then total = 30/2 x 16 = 180
if 30 hours is workedby a worker whose ration is 3, then total = 30/3 x 16 = 160
if 30 hours is workedby a worker whose ration is 5, then total = 30/5 x 16 = 96
if 30 hours is workedby a worker whose ration is 6, then total = 30/6 x 16 = 80

so 192 is no where.
_________________
Re: PS (ratio)   [#permalink] 02 Apr 2008, 12:40
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