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

Step-by-step explanation:

Given:-

x+1 men will do the work in x+1 days.

To find:-

find the number of days that x+2 men can finish the same work ?

Solution:-

Given that

X+1 men will do the work in X+1 days

Number of men = X+1

Number of days to complete the work = X+1

We know that

Number of men increases then Number of days decreases

So men and days in the indirect Proportion.

=> M×D = Constant

Let the number of days to complete the same work by (X+2) men be Y days

We have ,

We know that

M1 D1 = M2 D2

M1 = X+1

D1 = X+1

M2 = X+2

D2 = Y

On Substituting the values on the above formula

=> (X+1)×(X+1) = (X+2)×Y

=> (X+1)^2 = (X+2) ×Y

=> (X+2)×Y = (X+1)^2

=>Y = (X+1)^2 / (X+2) days

or

Y = [(X2+2X+1)/(X+2)] days

Answer:-

(X+2) men will complet the same work in

(X+1)^2 / (X+2) days or [(X2+2X+1)/(X+2)] days

Used formulae:-

• Number of men increases then Number of days decreases ,So men and days in the indirect Proportion. M×D = Constant
• M1 D1 = M2 D2