Question
Download Solution PDFA does half as much work as B in three-fourth of the time. If together they take 66 days to complete the work, how many days shall B alone take to do it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A does half as much work as B in three-fourth of the time.
Together they complete the work in 66 days.
Formula Used:
Total Work = Efficiency × Time
Calculation:
Assume:
B completes the work in x days.
A does half the work in 3/4 of the time ⇒ A does full work in (3/4) × 2 = 3x/2 days.
Work done by A in one day = 1 / (3x/2) = 2 / 3x
Work done by B in one day = 1 / x
Together, work done in one day = 1 / 66
⇒ (2 / 3x) + (1 / x) = 1 / 66
⇒ (2 + 3) / 3x = 1 / 66
⇒ 5 / 3x = 1 / 66
⇒ 3x = 5 × 66 = 330
⇒ x = 330 / 3 = 110
∴ B alone can complete the work in 110 days.
Last updated on Jun 26, 2025
-> The Staff Selection Commission has 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.
-> 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.