If 6 men finish a job in 10 days, how many days will 4 men take at the same rate?
A15 days
B12 days
C16 days
D20 days
Answer & Solution
Correct answer: A. 15 days
1. Men and days are in inverse proportion, so their product is the total work.
2. The work here is 6 x 10 = 60 man-days.
3. With 4 men, the days needed are 60 / 4.
4. That is 15 days.
5. Fewer men must mean more days, so any answer below 10 would be wrong on inspection.
_Source: syllabus Maths, Ch 11 'Direct and Inverse Proportions', S11.3 Inverse Proportion_
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