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

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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?

Options

  • 25

  • 27

  • 29

  • 33

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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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