Officer Aptitude Rating (OAR) Test 2025 – 400 Free Practice Questions to Pass the Exam

To understand how long it will take to complete the project with the given conditions, it’s important to first consider the roles of both individuals A and B in the project.

If B alone takes 30 days to finish the project, this means B has a work rate that can be calculated from this duration. Assuming A and B work together, their combined efforts lead to a shorter completion time. However, since A quits 10 days before the project is completed, we need to determine the timeline of events based on B's contribution and the impact of A leaving early.

To solve the timeline, let’s denote the total duration of the project when both A and B are working together as 'x' days. If A quits 10 days before the end of the project, it implies that A and B initially worked together for (x - 10) days. After A quits, B continues the work alone for the last 10 days of the project.

If B takes 30 days to complete it alone, we can consider that in those last 10 days, B would have completed 1/3 of the project (since 10 days is 1/3 of 30 days). Therefore, the portion of the project that must be