If the work rate of one man is represented by 'x' and the work rate of one woman is represented by 'y',
the work rates of 4 men and 6 women can be represented as
4x + 6y = 1/8.
Similarly,
the work rates of 3 men and 7 women can be represented as
3x + 7y = 1/10.
Solving these equations,
we find that the work rate of one woman is 1/400 of the task per day.
Therefore, 10 women can complete the task in 40 days

The proportion of A's and B's shares can be calculated by comparing the time it takes them to build the wall individually.
In this case,
A can build the wall in 30 days and B can build it in 40 days,
so the proportion of their shares is 4:3.
Using this proportion,
we can calculate B's share of the payment.
In this case, B's share is RS. 3000.

According to the calculation,
the ratio of the time it takes Sakshi to complete the work to the time it takes Tanya to complete the work is 5:4.
This means that for every 5 units of time it takes Sakshi to complete the work,
it takes Tanya 4 units of time.
Using this information,
we can determine that Tanya will take 16 days to complete the work.
This is calculated by setting up a proportion using the ratio of the time it takes Sakshi to complete the work to the time it takes Tanya to complete the work and the known value of 20 days for Sakshi.
The proportion is 5:4 :: 20:x,
and solving for x gives us a value of 16 days

Let's suppose that the work done by 1 man in 1 day is x, and the work done by 1 boy in 1 day is y.

Then the work done by 2 men and 3 boys in 1 day is 2x + 3y, and the work done by 3 men and 2 boys in 1 day is 3x + 2y.

We are given that 2 men and 3 boys can complete the work in 10 days, so 2x + 3y = 1/10.

We are also given that 3 men and 2 boys can complete the work in 8 days, so 3x + 2y = 1/8.

Solving these equations for x and y, we get x = 7/200 and y = 1/100.

The work done by 2 men and 1 boy in 1 day is (2 * 7/200) + (1/100) = 16/200 = 2/25 of the total work.

Since 2 men and 1 boy complete (2/25) of the work in 1 day, it will take them 25/2 = 12 1/2 days to complete the entire work.

The work rate of A and B together is 1/30 of the task per day,
and they work together for 20 days, completing 2/3 of the task.
The remaining work is 1/3 of the task, which A finishes in 20 days.
This means that A's work rate is 1/3 of the task per day.
Therefore, it will take A 60 days to complete the task on their own.

The work rate of X is 1/20 of the task per day, and the work rate of Y is 1/12 of the task per day. X works alone for 4 days, completing 1/5 of the task.
The remaining work is 4/5 of the task, and the combined work rate of X and Y is 2/15 of the task per day.
Therefore, it will take X and Y a total of 6 days to complete the remaining work.
The total time taken for the work to be completed is 6 days + 4 days = 10 days

If A and B can dig the trench in 12 days, then their combined daily rate of progress is 1/12 of the trench per day.
Similarly, if A can dig the trench in 30 days, then his daily rate of progress is 1/30 of the trench per day.
Therefore, B's daily rate of progress is 1/12 - 1/30, which simplifies to 1/20.
So, it would take B alone 20 days to dig the trench.

(A+B)'s 1 day work = 1/12,
(B+C)'s 1 day work = 1/15,
(C+A)'S 1 day work = 1/20
Including: 2(A+B+C)'s 1 day work = (1/12+ 1/15+ 1/20)= 12/60 = 1/5
∴ (A+B+C) `s 1 day work = (1/2 *1/5) = 1/10
∴ working together they can complete the work in 10 days.
A's 1 day work = (1/10-1/15) = 1/30, B`s 1 day work = (1/10-1/20) = 1/20
C's 1 day work = (1/10-1/12) = 1/60
∴ A alone can take the necessary steps in 30 days

A is twice as good a workman as B, so the ratio of A's work to B's work is 2 : 1.

A and B can finish the work in 18 days, 

so the amount of work they complete in 1 day is (1/18) of the total work.

We can divide the amount of work they complete in 1 day in the ratio 2 : 1, 

with A completing 2/3 and B completing 1/3.

Therefore, A's 1 day's work is (1/18) * (2/3) = 1/27 of the total work.

Since A completes (1/27) of the total work in 1 day, it will take him 27 days to complete the entire work.

To solve this equation, we can use algebraic methods. Here's how you can solve for x:
First, we start with the equation 10/40 + 10/30 + 10/x = 1.
We can simplify each fraction by dividing the numerator and denominator by their greatest common factor, which gives us (1/4) + (1/3) + (10/x) = 1.
Now we can add (1/4) and (1/3) to get (7/12) + (10/x) = 1.
Subtracting (7/12) from both sides of the equation gives us (10/x) = (5/12).
Multiplying both sides of the equation by x gives us 10 = (5/12) * x.
Multiplying both sides of the equation by 12/5 gives us x = 24.
So, the solution to the equation is x = 24.
This means that it would take C alone 24 days to do the entire job