B starts the work and after working for 80 days he leaves After this D takes over the work and finis...........

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.

B starts the work and after working for 80 days he leaves. After this D takes over the work and finishes it in 120 days. How much time will E and F take together to complete the same work?

84 (8/9) days

88 (8/9) days

78 (8/9) days

79 (8/9) days

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Explanation:

Let A takes 3x days;
So B will take 100/150*3x=2x days and D will take 3x days
As per question, 80/2x + 120/3x =1 => x=80
A takes 240 days; hence E takes 240*5/7 = 1200/7 days and F takes 240*10/13= 2400/13 days
E and F together takes 800/9 days