Elitmus Exam Numerical Ability Time and Work

16 women take 12 days to complete a work which can be completed by 12 men in 8 days.16 men started working and after 3 days 10 men left and 4 women joined them.how many days will it take then to complete the remaining work?

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Ans: 6 days
7 years agoHelpfull: Yes(6) No(2)

ans : 6 days

16 women take 12 days to complete a work.
in one day 16 women do 1/12 th of work.
in one day 1 woman does 1/(16*12) = 1/192 th of work.

12 men do same work in 8 days.
1 man can do in one day 1/96 th of work.

16 men for 3 days did = 16 * 1/96 * 3 = 1/2 of work.

now there are : 6 men and 4 women.
They can do in one day : 6 * 1/96 + 4 * 1/192 = 1/12th of work

Hence they take 6 days to complete the remaining 1/2 of work.
6 years agoHelpfull: Yes(1) No(0)
Ans: 31/5 days
7 years agoHelpfull: Yes(0) No(1)
Ans : 5 1/2days
6 years agoHelpfull: Yes(0) No(1)

Elitmus Other Question

a can do a piece of work in 8 days which b can destroy in 3 days.a has worked for 6 days,during the last 2 of which b has been destroying,how many days must a now work alone to complete the work? a man and a women and a boy can complete a work in 20,30 and 60 days respect.how many boysmust assist 2 men and 8 women so as to complete the work in 2 days?