Question : 40 men can complete a work in 30 days. However, if 10 men leave the group, how many days will the group take to complete the work?
Option 1: 40
Option 2: 35
Option 3: 45
Option 4: 50
Correct Answer: 40
Solution :
Given:
40 men can complete a work in 30 days.
But 10 men left.
Let (40 – 10) = 30 men complete the work in $x$ days.
Now, M
1
× D
1
= M
2
× D
2
where M
1
and M
2
represent the number of men and D
1
and D
2
represent the number of days.
⇒ $40 × 30 = 30 × x$
$\therefore x = 40$ days
So, the rest of the men will complete the work in 40 days.
Hence, the correct answer is 40.
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