X number of men finish a work in 60 days. If there were 8 more men, the work would be done in 10 days less. Find X.

Question

anonymous · Answer

Why doesn't this work? --- [(X+8)/60]= 1/50 ?

anonymous · Answer

Right now, you are saying ...uhm... like x+8 men can finish the work in 60 days, or something like that.

x men finished the work in 60 days. If there were x+8 men, the work can be done in 10 days less, so 50 days. 
The correct proportion is (x/60) = ((x+8)/50). Find x.

anonymous · Answer

ah! thank you!

anonymous · Answer

The previous reply is incorrect.

Let w = the amount of work
     x = the number of men doing the work

Then 60x = w and 50(x+8) = w.

Setting both equations equal to each other:

60x = 50(x+8)

or

60x = 50x + 400

so 10x = 400 or x = 40

anonymous · Answer

Aw, I'm so sorry :(