Solve this Time and Work question: Vikas can finish a manuscript in 24 days. After Vikas works alone for 8 days, Lokesh completes the remaining work. If Lokesh alone needs 30 days for the whole manuscript, how many days does Lokesh work?
Explanation
The verified answer to “Solve this Time and Work question: Vikas can finish a manuscript in 24 days. After Vikas works alone for 8 days, Lokesh completes the remaining work. If Lokesh alone needs 30 days for the whole manuscript, how many days does Lokesh work?” is 20 days, option B. The question-specific working supplied with the item states: ikas completes 8/24; remaining work = 1-8/24. At Lokesh's rate 1/30, time = (1-8/24)×30 = 20 days. 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 20 days. The alternatives 18 days, 21 days and 22 days 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 20 days, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.