To do the same piece of work D and E together take 125 18 days more than the days taken by B and C t...........

Quantitative Aptitude ( CCS) Line Chart

Study the following information and answer the questions that follow:
There are 6 people A, B, C, D, E and F. They require certain days to complete a piece of work. The graph below shows by what percent person B, C, D, E and F are more efficient than A. Answer the questions based on this data.

To do the same piece of work D and E together take 125/18 days more than the days taken by B and C together. In how many days A and F together can do the work?

62 (5/23) days

62 (7/23) days

62 (9/23) days

65 (5/23) days

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Explanation:

Let A takes x days; B takes 2x/3 days;
C takes 5x/6 days
hence B and C together take 10x/27 days
Also, D takes x days;
E takes 5x/7 days; together D and E takes 5x/12 days
given that 5x/12 – 10x/27 = 125/18 =>x=150
A= 150 days ; E =1500/13 days
together A and E= 1500/23= 65 (5/23) days