Arithmetic If 5 men or 8 women can do a piece of work in 42 days, in how many days can 10 men and 5 women do the same work?

If 5 men or 8 women can do a piece of work in 42 days, in how many days can 10 men and 5 women do the same work?

5 Men or 8 Women = 42 days

10 men and 5 women completes the same work in ?

capacity of 5 men=capacity of 8 women

then,capacity of 10 men=capacity of 16 women

$8 w$ $\times 42 = (16 w + 5 w) \times d$ ( $m 1 \times d 1 = m 2 \times d 2$ )

$8 w$ $\times 42 = 21 w \times d$

d=16days