Question

15. 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.

Answer 1

u=18
v=10
I hope it will help you

Answer 2

Answer:

48 days

Step-by-step explanation:

Let the work done by 1 man in 1 day = $\frac{1}{x}$

Let  the work done by 1 woman in 1 day = $\frac{1}{y}$

We are given that 6 men and 10 women can finish making pots in 8 days

So,$\frac{6}{x}+\frac{10}{y}=\frac{1}{8}$ ---A

4 men and 6 women can finish it in 12 days.

So,$\frac{4}{x}+\frac{6}{y}=\frac{1}{12}$ ---B

Solve A and B

Let 1/x be u and 1/y be v

$6u+10v=\frac{1}{8}$

$4u+6v=\frac{1}{12}$

u=1/48 , v= 0

So, x = 48

So,the time taken by the one man alone from that of one woman alone to finish the work is 48 days