# In how many days will finish the job?

3 men and 6 women finish a job in 9 days while 2 men and 8 women finish it in 12 days. In how many days will 12 women working alone will finish the same job?

- 36 days
- 30 days
- 32 days
- 34 days

**Answer: (1) 36 days**

**Explanation:-**

Let 1 man’s 1 day’s work be X and 1 woman’s 1 day’s work be Y,

3 men and 6 women finish a job in 9 days.

Then, 3 X + 6 Y = 1/9 ……………………(1)

And 2 X + 8 Y = 1/12 ……………(2)

Equation (1) multiply by 2 and equation (2) multiply 3,

6 X + 12 Y = 2/9 ………………………… (3)

6 X + 24 Y = 3/12 …………………………(4)

Equation (3) subtracted from equation (4),

6 X + 24 Y – 6 X – 12 Y = 3/12 – 2/9

12 Y = 1/36

Y = 1/36 x 12

= 1/432

Then, 1 woman’s 1 day’s work = 1/432

Therefore, 12 women’s work = 12/432

= 1/36

Then, In 36 days, 12 women will be working alone finish the same job.

Hence, the correct answer is option (1) 36 days.