If 12 workers can complete a task in 8 days, 16 workers will complete it in:
A4 days
B6 days
C9 days
D10 days
Answer & Solution
Correct answer: B. 6 days
1. The total work is 12 x 8 = 96 worker-days.
2. This total does not change when the team size changes.
3. With 16 workers the time needed is 96 / 16.
4. That is 6 days.
5. More workers means fewer days, so the answer must fall below 8, which rules out 9 and 10.
_Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_
Keep practising Time and Work
Browse all Time and Work questions for AFCAT, or explore more Quantitative Aptitude topics.
Related questions
For a fixed amount of work, the product of the number of workers and the days taken is:A can finish a job in 20 days. After working 5 days he leaves. The fraction of work left iA pipe fills a tank in 6 hours while an outlet empties it in 8 hours. With both open the tA is twice as fast as B. Working together they finish a job in 8 days. A alone would take:A and B together finish a job in 12 days. A alone takes 20 days. B alone would take:A can do a piece of work in 10 days and B in 15 days. Working together they finish it in:If 6 men finish a job in 10 days, how many days will 4 men take at the same rate?As the number of workers on a job increases, the time taken to finish it: