Person Z who is 50 more efficient than E takes 80 days less than B to complete the work Identify the...........

Quantitative Aptitude ( CCS) Time and work

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.

Person Z who is 50% more efficient than E takes 80 days less than B to complete the work. Identify the correct statement from the given:

(i) Difference between time taken by C and time taken by Z to complete the work individually is more than 100.

(ii) A and Z together can do the work in 85 days.

(iii) If Z works for 50 days and the remaining work is done by A alone for 315 days the work gets completed

Only (i)

Only (ii) and (iii)

Both (i) anf (ii)

Both (i) and (iii)

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Explanation:

A- x days; B-2x/3 days; E- 5x/7 days,
hence Z takes 5x/7 *2/3 = 10x/21 days
2x/3 – 10x/21=80 => x=420
Z takes = 200 days
(i) When A takes 420 days; C takes – 420*5/6= 350 days ; C-Z = 150; so true
(ii) Find A and Z together time; Not equal to 85
(iii) 50/200 + 315/420 =1 hence true