If 30 men working 9 h per day can reap a field in 16 days, in how many days, will 36 men reap the field working 8 h per day?

A) 15

B) 25

C) 18

D) 10

Correct answer:
A) 15

Description for Correct answer:

Let the required number of days be x.

More men, Less days (Indirect proportion)

Less hours, More days (Indirect proportion)

Men 36 : 30

:: 16 : x

Hours/ day 8 : 9

Therefore, \( \Large \left(36 \times 8 \times x\right) = \left(30 \times 9 \times 16\right) \)

Therefore, x = \( \Large \frac{30 \times 9 \times 16}{36 \times 8} \) = 15 days



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