Question

if x+1 men will do the work in x+1 days find the number of days that x+2 men can finish the same work

Answer 1

We know that,
x+1 men = x+1 days
1 man= (x+1)*(x+1) days
x+2 men= (x+1)²/x+2 days
Therefore, x+2 men can do the same work in (x+1)²/x+2 days

Answer 2

(x + 2) men can finish the same work is $(x + 2)$ days.

Step-by-step explanation:

We have,

(x + 1) men will do the work = (x + 1) days

To find the number of days that (x + 2) men can finish the same work = ?

∴ 1 man will do the work = $\dfrac{x+1}{x+1}$ days = 1 days

Then,  (x + 2) men will do the work = $\dfrac{x+1}{x+1}\times(x+2)$ days

(x + 2) men will do the work $= (x+2)$days

Hence, (x + 2) men can finish the same work is $(x + 2)$ days.