JKSSB Written 2026
Answer & Explanation
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Correct Answer:
Option C —
12 days
To find the total time taken to complete the task, we can look at the work in terms of parts.Imagine the entire job is divided into seventy-five equal parts.
Since A can finish the whole job in fifteen days, A completes five parts every single day. Since B can finish the whole job in twenty-five days, B completes three parts every single day. When they work together, they finish a total of eight parts every day.
The problem tells us that B left seven days before the work was finished. This means that for the final seven days, A was working all alone. During those seven days, A completed five parts each day, which totals thirty-five parts of work done during that final period.
Since the entire job consists of seventy-five parts, and A finished thirty-five of them at the very end, there were forty parts of the job that were completed while A and B were still working together at the beginning.
Because they complete eight parts per day when working together, we can determine that they worked together for five days to finish those forty parts.
Finally, we add the five days they worked together to the seven days A worked alone at the end. This gives us a total of twelve days to complete the entire job.
The work will be completed in twelve days.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.