A who can complete project 2 in 20 days worked for 6 days The ratio of number of days in which B and...........

Quantitative Aptitude ( CCS) Data Table

Directions : The following table shows the number of days for which 4 individuals A, B, C and D worked on 5 different projects numbered 1 to 5. It also shows the part of respective project that could not be completed by individuals in time. Some values are missing which are denoted by symbol (-). With the help of information in questions and table below answer the questions that follow.

Project No.	No. Of days for which individuals worked on different projects				Part of project uncompleted after all worked
Project No.	A	B	C	D	Part of project uncompleted after all worked
1	6	6	2	3	1/3
2		3	4
3
4	5	3	2		1/6
5	2	2	3	5	1/12

A who can complete project 2 in 20 days, worked for 6 days. The ratio of number of days in which B and C can complete Project 2 alone is 5 : 8. D could not come to work for project 2. Find the number of days in which B and C can complete 13/30 of project 2 together, given that if D who can complete work in 12 days had also joined the project for 4 days, the project would have been completed.

3 days

6 days

5 days

4 days

8 days

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Explanation:

Number of days in which B and C can complete project 2 alone is 5x and 8x respectively.
Now if D also joined for 4 days, project would have been completed, means
6/20 + 3/5x + 4/8x + 4/12 = 1
11/10x = 11/30
x = 3
So B can complete project in 5x = 15 days, and C in 8x = 24 days.
So 13/30 work, B and C together – (1/15 + 1/24)*y = 13/30
Solve, y = 4 days

Hence, option 4 is the correct answer.