A contractor plans to finish a work in 124 days with 120 men. After 64 days, 2/3 of the work is complete. How many men can be dismissed so that the work still finishes on time?

Introduction / Context:
If progress is ahead of schedule, the workforce can be reduced while still meeting the deadline. Compute remaining work and divide by remaining days to find the men needed, then subtract from current staff.

Given Data / Assumptions:

• 120 men for 124 days planned.
• After 64 days, 2/3 of work completed; remaining 1/3 must be done in 124 - 64 = 60 days.

Concept / Approach:
Treat work in man-days with a constant per-man daily productivity. Infer the total job size W from the completed fraction; compute remaining crew M to finish 1/3 W in 60 days.

Step-by-Step Solution:

Verification / Alternative check:
Check: 64 men for 60 days produce exactly 3840k which equals remaining work.

Why Other Options Are Wrong:
Other values do not balance remaining man-days over the remaining 60 days.

Common Pitfalls:
Assuming proportionality to the original plan rather than the observed progress.

Final Answer:
56