Question

A contractor Abhay Singh employed some men to do a piece of work which can be done by 16 men in 14 days. At the end of 5 days, 7 of the men stopped working and 3 days later half of the remainder stopped working; the rest finished the work in 5 days. What is the number of men originally employed?

Options

• 25

• 27

• 29

• 33

Answer 1

25

Explanation:

16 men can complete the work in 14 days

Let initially x men were employed

using M₁D₁ = M₂D₂

ATQ

`16xx14=5"x"+3("x"-7)+5(("x"-7))/2`

`224=(21"x"-42-35)/2`

21x = 448 + 77

`"x"=525/21=25`