# 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 - Mathematics

MCQ

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?

• 25

• 27

• 29

• 33

#### Solution

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

Concept: Time and Work (Entrance Exam)
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