Question
Download Solution PDFA and B can complete a piece of work in 25 days and 55 days, respectively. The total number of days (in whole number) to complete the work, if A and B both work together, is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can complete the work in 25 days.
B can complete the work in 55 days.
Formula Used:
Work done by A and B together in one day = (1 / A's time) + (1 / B's time)
Total time to complete the work = 1 / (Work done by A and B together in one day)
Calculation:
Work done by A in one day = 1 / 25
Work done by B in one day = 1 / 55
Work done by A and B together in one day = (1 / 25) + (1 / 55)
⇒ Work done by A and B together in one day = (1)/(25) + (1)/(55)
⇒ Work done by A and B together in one day = (55 + 25)/(25 × 55)
⇒ Work done by A and B together in one day = (80)/(1375)
⇒ Work done by A and B together in one day = (16)/(275)
Total time to complete the work = 1 / ((16)/(275))
⇒ Total time to complete the work = (275)/(16)
⇒ Total time to complete the work = 17.1875 days
Rounding to the whole number, total time = 18 days
The total number of days to complete the work if A and B both work together is 18 days.
Last updated on Jun 3, 2025
-> The Staff Selection Commission has officially released the SSC Selection Post Phase 13 Notification 2025 on its official website at ssc.gov.in.
-> A total number of 2423 Vacancies have been announced for various selection posts under Government of India.
-> The Computer Based Exam is scheduled from 24th July to 4th August, 2025. Candidates will be able to apply online from 2nd June 2025 to 23rd June 2025.
-> The SSC Selection Post Phase 13 exam is conducted for recruitment to posts of Matriculation, Higher Secondary, and Graduate Levels.
-> The selection process includes a CBT and Document Verification.
-> Some of the posts offered through this exam include Laboratory Assistant, Deputy Ranger, Upper Division Clerk (UDC), and more.
-> Enhance your exam preparation with the SSC Selection Post Previous Year Papers & SSC Selection Post Mock Tests for practice & revision.