### Global Statistics

All countries
347,433,548
Confirmed
Updated on January 22, 2022 2:20 pm
All countries
274,742,585
Recovered
Updated on January 22, 2022 2:20 pm
All countries
5,605,259
Deaths
Updated on January 22, 2022 2:20 pm

# If 5 Men or 9 Women can Do a Piece of Work in 19 Days then in How Many Days will 3 Men and 6 Women Do the Same Work?

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 4

• If 5 men or 9 women can do a piece of work in 19 days.
• The days required by 3 men and 6 women to do the same work can be figure out in this way.

## Explanation

Two given entities here are

1. Men and Women
2. Days

To determine the relation here, let suppose; The days required by 3 men and 6 women to do the same work = y

Case I

5 men = 9 women

1 man = 9/5 women

3 men = 27/5 women

This clearly indicates that 9 women do the same work as 5 men and 27/5 women do the same wok as 3 men.

When units of given quantities are different we need to change them accordingly.

3 men and 6 women = (27/5 + 6) women

3 men and 6 women = (27 + 30)/5 women

3 men and 6 women = 57/5 women

Case II

Women      Days

9                 19

57/5           y

• More women mean less days.
• Less women mean more days.

This clearly indicates that there is inverse relation.

Direct/Indirect relation tells how the equation will be written.

9 : 57/5  ::  y : 19 ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 15)

## To Find

The days required by 3 men and 6 women to do the same work = ?

## Solution

### Method I

Let suppose

The days required by 3 men and 6 women to do the same work = y

Women      Days

9                 19

57/5           y

• Relation between women and days is inverse so;

9 : 57/5  ::  y : 19

57/5 x y = 9 x 19

57y/5 = 171

57y = 171 x 5

57y = 855

y = 855/57

y = 15 days

The days required by 3 men and 6 women to do the same work = 15 days answer

### Method II

5 men = 9 women

1 man = 9/5 women

3 men = 27/5 women

And

3 men and 6 women = (27/5 + 6) women

3 men and 6 women = (27 + 30)/5 women

3 men and 6 women = 57/5 women

The days required by 9 women to do the same work = 19 days

The days required by 1 woman to do the same work = (19 x 9) days

The days required by 1 woman to do the same work = 171 days

The days required by 57/5 women to do the same work = (171 x 5)/57 days

The days required by 57/5 women to do the same work = 15 days

The days required by 3 men and 6 women to do the same work = 15 days answer

### Conclusion

If 5 men or 9 women can do a piece of work in 19 days, then 15 days would be required by 3 men and 6 women do the same work.

### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 6

error: Content is protected !!