6 men and 10 women can finish making pots in 8 days, while the 4 men and 6 women can finish it in 12 days. Find the time taken by the one man alone from that of one woman alone to finish the work.

48 days

Step-by-step explanation:

Let us assume the following things

Work done by 1 man in 1 day is

Work done by 1 woman in 1 day is

It is mentioned that

six men + ten women finished in 8 days

So,

.............. (1)

And,

four men + six women finished in 12 days

...............(2)

Now solve these two equations

And we assume be u and be v

So

Now the equation is

So,

u = 1 ÷ 48 , v = 0

Therefore x = 48

So the time taken for finish the work is 48 days

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3