If 8 men or 16 women or 32 boys can do a piece of work in 8 months, then in how many months can 4 men, 4 women and 4 boys together complete the work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. .
Work Rates of 1 man per month = 1/64
Work Rates of 1 woman per month = 1/128
Work Rates of 1 boy per month = 1/256
Combined Work Rate (4 men + 4 women + 4 boys) = 4(1/64) + 4(1/128) + 4(1/256)
= 4/64 + 4/128 + 4/256
= 7/64 work per month
Time Required = 64/7 = months