Question

A certain number of men will complete a work in 60 days. If 8 men join them, it will be finished earlier by 15 days. How many men were there originally?
1. 24
2. 22
3. 20
4. 18
5.

Answer 1

Correct Answer - Option 1 : 24

Given:

A certain number of men complete the work in 60 days.

When 8 men join, work completed 15 days earlier,

Means (60 - 15) = 45days

Concept used:

Total work = Total Manpower × Days

M₁ × D ₁ = M₂ × D₂

Calculation:

Let the number of men originally be N

According to the question,

⇒ N × 60 = (N + 8) × 45

⇒ N × 60 = N × 45 + 360

⇒ N × 15 = 360

⇒ N = 24

∴ The number of men originally is '24'.