B and D have worked for the same number of days when A B C D and E worked together to finish the com...........

Quantitative Aptitude ( CCS) Data Table

Direction : Study the following information and answer the questions that follow:

Five friends A, B, C, D and E completed a work together. The table below shows the percentage of work done by each member and the number of days for which they worked. Using the data given in the table answer the questions that follow. Some fields are missing you have to find these missing values and then answer the question.

Person	Percentage of work done	Number of days worked
A	20%	2
B	33(1/3)%	-
C	20%	4
D	-	-
E	10%	3

B and D have worked for the same number of days when A, B, C, D and E worked together to finish the complete work. When only B and D work together they are able to 10 days. In how many days C and D do the whole work together?

10 days

12 days

14 days

15 days

16 days

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Explanation:

Let B and D worked for x days
B did 33 (1/3) =1/3 work in x days=> whole work in 3x days
D did the work in 100-(20+ 33(1/3)+20+10)=16 (2/3)=1/6 work in x days=> whole work in 6x days
now given B and D together in 10 days solve and get B takes 15 days and D takes 30 days
Hence C and D together will take 20*30/50=12 days

Hence, option 2 is the correct answer.