Question
Download Solution PDFA and B working separately can complete a piece of work in 10 and 16 days, respectively. If they work for a day alternately, with A beginning the work, in how many day(s) will the work be completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B working separately can complete a piece of work in 10 and 16 days
Concept used:
Total work = efficiency of the worker × time taken by them
Calculation:
Let the total work be 80 units
So, the efficiency of A and B = 8 units/day, 5 units/day
Effective efficiency of the two = 13 units/day
According to the question,
They work on alternative days
So, in 2 days work completed = 13 units
In 12 days work completed = 78 units
Now,
The remaining 2 units will be completed by A in 2/8 days or 1/4 days
So, total time = 12 + 1/4 days
⇒ \(12{{1} \over 4}\) days
∴ The work is completed in \(12{{1} \over 4}\) days.
Last updated on Jun 25, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.
->The UGC NET Exam Analysis 2025 for June 25 is out for Shift 1.