Question
Download Solution PDFP, Q and R can complete a task in 20, 30 and 60 days, respectively. How many days will it take to finish the work if P is helped by Q and R every third day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P can complete a task in 20 days,
Q in 30 days,
R in 60 days,
P is helped by Q and R every third day.
Concept:
Work done is reciprocal of the time taken. Use the concept of man-days.
Solution:
Total work = LCM(20, 30, 60) = 60 units
Efficiency of P = 60/20 = 3
Efficiency of Q = 60/30 = 2
Efficiency of R = 60/60 = 1
Work done by P in two days = 2 days × 3 = 6 units.
On third day, all three work together, their combined work = 3 + 2 + 1 = 6 units.
Therefore, in every cycle of three days, work done = 6 + 6 = 12 units.
To finish 60 unit of work, days required = 3 × 5 = 15 days.
Hence, it will take 15 days to finish the work.
Last updated on Jun 17, 2025
-> The Staff Selection Commission has released the SSC GD 2025 Result on 17th June 2025 on the official website. Candidates can check if their qualifying status by going through the List.
-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.
-> The SSC GD Merit List is expected to be released soon by the end of April 2025.
-> Previously SSC GD Vacancy was increased for Constable(GD) in CAPFs, SSF, Rifleman (GD) in Assam Rifles and Sepoy in NCB Examination, 2025.
-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies.
-> The SSC GD Constable written exam was held on 4th, 5th, 6th, 7th, 10th, 11th, 12th, 13th, 17th, 18th, 19th, 20th, 21st and 25th February 2025.
-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.
-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.