Question

4 women and 10 men can complete a project in 2 days. 2 women and 2 men can complete the same project in 6 days. How long would it take for 1 man alone to complete the project? Assume that the rates at which a man and a woman works are fixed. days

Answer 1

Answer:

36 days

Step-by-step explanation:

Here there is an indirect variation,

Let's denote women as w and men as m.

(4w+10m)×2=(2w+2m)×6

=>8w+20m=12w+12m

=>8m=4w

=>w=2m

And another equation for question is,

(2w+2m)×6=m×x ( x is number of days)

(You can also take (4w+10m)×2=m×x)

=>(2×2m +2m)×6=m×x

=>6m×6=m×x

=>x=36 days