Question

A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days, since 9 people were absent throughout. How many people were supposed to be working originally?

• A. 32
• B. 27
• C. 36
• D. 30

Answer 1

Answer: (C)

36

Answer 2

Using M1D1= M2D2
Let $x$ people were supposed to work initially.
$x×24 =(x−9)×32$
$3x =4(x−9)$
$3x =4x−36$
$x=36$
The correct answer is (C): 36