Question
Download Solution PDFA group of 5 men or 12 women can complete a particular task in 78 days. How long will it take for 5 men and 12 women working together to finish the same task?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5 men can complete a task in 78 days.
12 women can complete the same task in 78 days.
Formula used:
If M1 persons can do a work in D1 days, and M2 persons can do the same work in D2 days, then M1D1 = M2D2.
Also, Work = Efficiency × Time
Calculations:
5 men ≡ 12 women
5 men and 12 women:
Total equivalent men = 5 men (from the group of men) + 5 men (equivalent to 12 women)
⇒ Total equivalent men = 10 men
We know that 5 men can complete the task in 78 days.
Let D be the number of days 10 men will take.
Using the formula M1D1 = M2D2:
5 × 78 = 10 × D
⇒ D = (5 × 78) / 10
⇒ D = 78 / 2
⇒ D = 39 days
∴ It will take 39 days for 5 men and 12 women working together to finish the same task.
Last updated on Feb 11, 2025
Kerala Public Service Commission (KPSC) will release a new notification for the Kerala PSC Degree Level Exam. The exam will be conducted to recruit candidates for the post of Sales Assistant, Armed Police SI, Excise Inspector, etc. Candidates with a Graduation degree will only be selected under the recruitment process. Candidates can refer to the Kerala PSC Degree Level Exam Preparation Tips to boost their preparation and score well in the exam.
-> A bachelor's degree in any field from a recognized university and the ability to converse in Malayalam.
-> The recruitment process is done in several stages, which include a Preliminary Exam, Main Exam, and Interview.
-> Candidates who successfully complete the selection process will be considered for various positions within Kerala State Government departments.