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

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 4 to 5. If one of the four staff members worked on the project for 60 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

Quiz

Answer/Solution

240

Steps/Work

A:B:C:D=2x:3x:4x:5x, for some positive number x. Total time 2x+3x+4x+5x=14x.
If 2x = 60 then 14x = 420;
If 3x = 60 then 14x = 280;
If 4x = 60 then 14x = 210;
If 5x = 60 then 14x = 168;
Only answer choices which is not obtained is 240.
Answer: E.