25 men can complete a work in 8 days. 15 women can complete the same work in 20 days & 9 children can complete it in 40 days. In how many days can one man, one woman and one child together complete th
A). 80 days
B). 85 days
C). 90 days
D). 95 days
90 days
25 men can complete the work in 28 days.
∴ The man can complete the work in 25 x 8 = 200 days.
∴ One man's one day's work = 1/200
Similarly,
One woman's one day's work = 1/300
and one child's one day's work = 1/360
∴ (One man + one woman + one child)'s one day's work = 1/200 + 1/300 + 1/360
= 9+6+5/1800 = 20/1800 = 1/90
∴ One man, one woman and one child can finish the work in 90 days.