Question

8 men or 16 boys can do a work in 39 days. In how many days will 4 men and 18 boys do it?​

Answer 1

Answer:

Working rate of one man = 2R

Working rate of one boy = R

magnitude of the whole work = W

8×2R×39= W

Take X as the days that 4 men and 18 boys can complete the whole work.

(4×2R + 18×R)X = W

(8R + 18R)X = 8×2R×39

26RX = 8×2R×39

13×2RX = 8×2×R×3×13

RX = 8×R×3

X = 24 days

4 men and 18 boys takes 24 days to complete the whole work.