Question
Download Solution PDFSonal and Arjun together can finish a piece of work in 57 days, Arjun and Rohan in 38 days, and Rohan and Sonal in 38 days, then Sonal, Arjun, and Rohan together can finish the same work in how many days?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sonal and Arjun can finish a piece of work in 57 days.
Arjun and Rohan can finish the same piece of work in 38 days.
Rohan and Sonal can finish the same piece of work in 38 days.
Concept Used:
The work rate of people working together is the sum of their individual work rates. In this case, the work rate is the reciprocal of the time taken to complete the work.
Calculation:
LCM of 57, 38, and 38 is 114
Sonal and Arjun = 1/57 × 114 = 2
Rohan and Sonal = 1/38 × 114 = 3
Arjun and Rohan = 1/38 × 114 = 3
Total efficiency of Sonal, Arjun and Rohan = (2 + 3 + 3)/2 = 4
Rohan and Sonal: 1/38 work/day.
The time taken by all three working together is 114/4 = 28.5
Hence, Sonal, Arjun, and Rohan together can finish the same work in 28.5 days.
Last updated on Jul 8, 2025
-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.
-> 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.
-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies.
-> 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.