A team of 40 employees were appointed to finish the project of a shopping mall…
2024
A team of 40 employees were appointed to finish the project of a shopping mall in 200 days. How many more employees should be appointed to finish it in 80 days?
Answer: B. 60 — Concept: When every employee works at the same steady rate, the total amount of work in a project is fixed. So Employees × Days = Constant (the total…
- A.
80
- B.
60
- C.
75
- D.
100
Attempted by 19 students.
Show answer & explanation
Correct answer: B
Concept: When every employee works at the same steady rate, the total amount of work in a project is fixed. So Employees × Days = Constant (the total man-days). If the deadline changes, that same fixed amount of work must be redistributed across the new number of days, so for a fixed job, the number of employees needed and the number of days available vary inversely.
Find the total work for the job in man-days: 40 employees × 200 days = 8,000 man-days.
Find how many employees are needed to complete this same 8,000 man-days of work in 80 days: 8,000 ÷ 80 = 100 employees.
The question asks for the additional employees needed, not the new total, so subtract the original team: 100 − 40 = 60.
Cross-check: with 100 employees working for 80 days, total work done = 100 × 80 = 8,000 man-days, which exactly matches the original 40 × 200 = 8,000 man-days — confirming the total (and hence the additional 60) is correct.
Hence, 60 more employees must be appointed.