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

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Four staff members at a certain company worked on a project. [#permalink] New post 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.
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Re: PS (ratio) [#permalink] New post 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?
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Re: PS (ratio) [#permalink] New post 02 Apr 2008, 12:40
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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.
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Re: PS (ratio)   [#permalink] 02 Apr 2008, 12:40
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