# DBT JRF 2022 — Question 41

Exam: DBT JRF 2022 · Section: A · Topic: Aptitude › Time & Work · Difficulty: Medium

## Question

If 48 men can do a piece of work in 25 hours, how much time will it take for 15 men to finish the same task?

## Options

- **A.** 75 hours
- **B.** 60 hours
- **C.** 80 hours
- **D.** 85 hours

## Answer

Option C

## Explanation

Work and man-hours: Total work = 48 men × 25 hours = 1200 man-hours For 15 men, time required: $t = \frac{\text{Total work}}{\text{Number of men}} = \frac{1200\,\text{man-hours}}{15\,\text{men}} = 80\,\text{hours}$ Principle: Total work (in man-hours) is constant. When fewer men are assigned, proportionally more time is needed: $\frac{M_1}{M_2} = \frac{T_2}{T_1} \Rightarrow \frac{48}{15} = \frac{T_2}{25} \Rightarrow T_2 = \frac{48 \times 25}{15} = 80\,\text{hours}$ Answer: 80 hours (Option 3).

Source: https://mypyqbuddy.com/questions/if-48-men-can-do-a-piece-of-6a104cd5920734408bc0c706