If the work done by x men in x 1 days is equal to the work done by x n...........

Quantitative Aptitude (CDS) Time and work

If the work done by x men in (x + 1) days is equal to the work done by (x + 5) men in (x - 2) days, then what is the value of x ?

This questions was previously asked in

2024 CDS -1 MATH

- To solve the problem, set up an equation based on the work equivalence:

$$ x \times (x + 1) = (x + 5) \times (x - 2) $$

- Simplify the equation:

$$ x^2 + x = x^2 + 3x - 10 $$

- Simplify further to find:

$$ x = 5 $$

- Option 1: 5

- This is the correct value of x as calculated above.

- Option 2: 6

- If x = 6, left-hand side does not equal the right-hand side in our equation.

- Option 3: 7

- Results don’t equate as per the equation.

- Option 4: 8

- Incorrect as it doesn’t satisfy the equation.

- Correct Answer: Option 1: 5

Submit Error