24 men can complete a work in 20 days. How many more men are required to complet

Question

24 men can complete a work in 20 days. How many more men are required to complete the work in 12 days?

Options:

A . 40

B . 12

C . 16

D . 18

Answer: Option C
:
C
Method 1:Using man-days
Amount of work in terms of man days

= 24 \times 20 = 480

man days
So, number of men required to complete the work in 12 days

= \frac{480}{12} = 40

men.
16 more men are required. Hence option (c)
Method 2: Using constant product rule
Decrease in number of days

= \frac{1}{(\frac{20}{8})} = \frac{1}{2.5}

Increase in number of men

= \frac{1}{1.5} =

16 men to finish the same work.

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