Question

28 men and 21 women can complete a work in 16 days. All of them start working together and after working for 12 days the women stopped working. All men alone complete the remaining work in 8 days. How many days will it take for completing the entire work if only 21 women are employed on the job?

A 15 Correct Answer Incorrect Answer
B 32 Correct Answer Incorrect Answer
C 20 Correct Answer Incorrect Answer
D 40 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

28 men and 21 women can complete the work in 16 days.   ∴ Work done by them in 12 days = 12/16 = 3/4   Remaining 1-3/4 = ¼ work is completed by 28 men in 8 days.   => Time taken by only 28 men to complete the whole work = 4 x 8 = 32 days.   Work done by 21 women in a day = 1/16 – 1/32 = 1/32   ∴ Time taken by 21 women to complete the work = 32 days

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