Solve this Time and Work question: A contractor estimates that 24 workers can complete a community centre in 40 days. The deadline is shortened to 24 days. How many additional workers of equal efficiency must be hired from the beginning?
Explanation
The verified answer to “Solve this Time and Work question: A contractor estimates that 24 workers can complete a community centre in 40 days. The deadline is shortened to 24 days. How many additional workers of equal efficiency must be hired from the beginning?” is 16 workers, option B. The question-specific working supplied with the item states: 0 − 24 = 16.otal work = 24×40 = 960 worker-days. New duration = 24 days, so required workers = 960/24 = 40. Additional workers = 40-24 = 16. This working identifies the relevant work-rate equation and connects the given information to the required result. To solve reliably, represent every term, person, seat, letter or operation in the order stated; then apply one rule consistently instead of guessing from the final pair alone. After applying the verified rule, the required value or position is 16 workers. The alternatives 14 workers, 18 workers and 12 workers fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. For independent confirmation, begin with the first clue or term, rebuild each intermediate step, and compare the derived result with all four choices. In a letter series, translate letters into positions A=1 through Z=26 and preserve wraparound. This full replay leads only to 16 workers, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.