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 12, 2025
-> 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 2025 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.