A group of men committed to completing a task in 20 days The work was completed in 40 days because 5...........

Quantitative Aptitude (CPO) Time and work

A group of men committed to completing a task in 20 days. The work was completed in 40 days because 5 workers did not

come for work. Determine the number of men who originally agreed to do the work.

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 1

- Let the original number of men be \( x \).

- Men days required originally: \( 20x \).

- Due to absence of 5 men, only \( x - 5 \) men worked.

- The task then took 40 days, so work done: \( 40(x - 5) \).

- Equate the work done: \( 20x = 40(x - 5) \).

- Solving gives: \( 20x = 40x - 200 \).

- Simplifying: \( 200 = 20x \).

- Therefore, \( x = 10 \).

- Option 1: \( 15 \) - Incorrect.

- Option 2: \( 10 \) - Correct.

- Option 3: \( 12 \) - Incorrect.

- Option 4: \( 18 \) - Incorrect.

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