Difficulty: Medium
Correct Answer: None of these
Explanation:
Introduction / Context:
This is a two-phase workforce problem used to infer relative productivities of men and women. After learning the ratio, compute the total work in man-rate units and then find the women-only duration.
Given Data / Assumptions:
Concept / Approach:
Let man rate = m and woman rate = w (jobs per day). Equate Phase-2 remainder to solve for w in terms of m, then compute total job in m-units and divide by 15w.
Step-by-Step Solution:
Verification / Alternative check:
36 days is consistent with the inferred m:w ratio 6:5 and total job size 450m.
Why Other Options Are Wrong:
60, 88, 94 do not match the derived 36 days. Hence the correct choice within the given set is “None of these.”
Common Pitfalls:
Assuming the total work is 12 days of the mixed team without converting to rates; or forgetting to scale by 15w for the women-only case.
Final Answer:
None of these
Discussion & Comments