Question

8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work?
l. 19 men and 12 women together can complete the work in 18 days
II 16 men can complete two-third of the work in 16 days.
Ill. In a day, the work done by three men is equal to the work done by four women.

• A. I only
• B. Il only
• C. III only
• D. I or II or III

Answer 1

The correct option is D I or II or III

Let's assume,

1 man completes $x$ work in 1 day

1 women completes $y$ work in 1 day

According to the question,

$3(8x+14y)$$+$$d(3x+6y)$$=1$

Here unknowns are $x,y$ and $d$

Where d are the number of days required to complete the remaining work.

Statement 1:

$18(19x+12y)=1$

Statement 2:

$16x\times x$$=1$

Statement 3:

$3x=4y$

This can be solved by (1&2) or (1&3). or (2&3).

Hence, Option D is correct.