# How many days will 27 men and 18 women take to do it?

50 views

If 17 men and 18 women can do a piece of work in 11 days and 14 men and 13 women can do it in 15 days.
How many days will 27 men and 18 women take to do it?

posted Aug 23, 2018

17M + 18W = 1/11 --- (1)
14M + 13W = 1/15 --- (2)
(2)×17/14 - (1)
W = [23/165×31] ---- (3)
Sub (3) in (2)
M = [3/165×31] --- (4)
Using (3) & (4)
27× [3/165×31] + 18×[23/165×31] = 495/(165×31) = 3/31
=> 1 work in [10 + (1/3)] days.

Similar Puzzles

If 10 men and 15 women can do a piece of work in 8 days and 9 men and 12 women can do it in 9 days.
How many days will 5 men and 15 women take to do it?

+1 vote

If 11 men and 16 women can do a piece of work in 6 days and 7 men and 9 women can do it in 10 days.
How many days will 15 women and 5 men take to do it?

+1 vote

If 6 men and 10 women can do a piece of work in 15 days and 5 men and 9 women can do it in 17 days.
How many days will 5 men and 12 women take to do it?

+1 vote

If 6 men and 8 women can do a piece of work in 10 days and 4 men and 7 women can do it in 12 days, how many days will 4 men and 12 women take to do half of work?

+1 vote

If 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?