Time and work problem lacking sufficient gender-efficiency data
Question
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
Options
30 days
More than 30 days
Less than 30 days or more than 30 days
Data is inadequate to draw any conclusion
Explanation
We are given a single work equation: 24M + 12W = 1/30 of the work per day. We need to evaluate the time for a second configuration: 12M + 24W = ?
Notice that the variables have swapped coefficients, but we are provided absolutely no information regarding the relative efficiency ratio between a man and a woman.
Because either scenario is mathematically possible depending on the unknown efficiency ratio, the problem cannot be solved.
Answer: (d).
Question details
Year
2022
Paper
CSAT
Question
Q57
Section
Numerical Ability
Sub-topic
Time & Work
Type
Factual single
Difficulty
Medium
Source hint
24 men and 12 women can do a piece of work
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