Question : X boys can do a work in 80 days. In how much time, 2X boys will do half of the same work?
Option 1: 16 days
Option 2: 30 days
Option 3: 12 days
Option 4: 20 days
Correct Answer: 20 days
Solution :
Given: X boys can do the work in 80 days.
If 2X boys are doing half the work, they would take half the time of half the original time, which is a quarter of the original time.
$\therefore$ 2X boys will do half of the work = $\frac{1}{4}×80$ = 20 days
Hence, the correct answer is 20 days.
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