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

good job you smart son of a gun you are smarter that einstein. 7

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b