All of them started to work together but A leaves after 4 days B leaves the job 3 days before the co...........

Quantitative Aptitude ( CCS) Data Table

NA refers the data which is not needed for a particular question. The number of working days of A, B, C, D is given below and some of them are missing. Take the data of the first row for the first question and the second row for the second question and so on.

A	B	C	D	Ratio	Total Number of Working Days
_	25	NA	NA	Efficiency (A : B) = 5 : 4	NA
_	_	_	NA	NA	_
16	64/5	32	NA	NA	NA
NA	NA	50	_	_	_
NA	9	8	3	NA	_

All of them started to work together but A leaves after 4 days. B leaves the job 3 days before the completion of the work. How long would the work last?

6 days

9 days

18 days

5 days

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Explanation:

Explanation :
Let the work lasted for x days,
A’s 4 day’s work + B (x – 3) day’s work + C’s x day’s work = 1
⇒ (4/16) + (x – 3) / (64/5) + x/32 = 1
⇒ 5(x – 3)/64 + x/32 = 1 – 1/4
⇒ [5(x – 3) + 2x] / 64 = 3/4
⇒ 7x – 15 = 48
∴ x = (48 + 15)/7 = 63/7 = 9 days