Question : A group of men committed to completing a task in 20 days. The work was completed in 40 days because 5 workers did not come for work. Determine the number of men who originally agreed to do the work.
Option 1: 15
Option 2: 10
Option 3: 12
Option 4: 18
Correct Answer: 10
Solution :
Let the men who completed the work be $x$.
Absent workers = 5
The work is completed in 40 days.
Earlier the work was to be completed in 20 days.
We know that,
$M_1D_1= M_2D_2$
⇒ $x\times40=(x+5)\times20$
⇒ $40x=20x+100$
⇒ $20x=100$
$\therefore x=5$
So, the number of men who originally agreed to do the work = $(x+5)=5+5=10$
Hence, the correct answer is 10.
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