Question

12 men or 15 women can finish a work in 24 days. In how many days the
same work can be finished by 8 men and 8 women?
(2018)
$\frac{5}{2} \times 3$

(A) 16 days (B) 20 days (C) 24 days (D) 28 days​

Answer 1

Answer:

Finding number of days

Given: 12 men or 15 women can finish a work in 24 days.

To find: In how many days, the same work can be finished by 8 men and 18 women.

Solution:

Here, 12 men is equivalent to 15 women (in order to finish a work)

i.e., 12 men = 15 women

i.e., 1 men = 15/12 women

i.e., 1 men = 5/4 women

Then, 8 men = 8 × 5/4 women = 10 women

∴ 8 men + 8 women = (10 + 8) women = 18 women

Mathematically, the problem can be written as -

Women Time (Days)

15 24

18 ?

Here women and time are in inverse relation.

Thus number of requirement time is

= 24 × 15/18 days

= 24 × 5/6 days

= 4 × 5 days

= 20 days

Answer: The same work can be finished by 8 men and 8 women in 20 days.