8men or 12 women can do a work in 25 days . so in how many days 6men and 11 women can complete the work
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Given:
- 8 men or 12 women can do a work in 25 days .
To find:
- In how many days 6men and 11 women can complete the work.
Solution:
According to question,
No.of.days in which 8 men can do a work = 25 days.
No.of.days in which 1 man can do a work:-
⇒ 25×8 = 200 days
Then,
No.of.days in which 6 men can do a work:
⇒ 200/6
Also,
No.of.days in which 12 women can do a work = 25days
No.of.days in which 1 woman can do a work:-
⇒ 12×25 = 300 days
Then,
No.of.days in which 11 women can do a work:
⇒ 300/11 days
Therefore,
No.of.days for 6 men & 11 women to complete the work:-
⇒1÷[1/(200/6) + 1/(300/11)]
⇒ 1/(6/200 + 11/300)
⇒1/[(18 + 22)/600]
⇒ 1/[40/600]
⇒600/40
⇒ 15 days.
Hence, in 15 days, 6 men and 11 women can complete the work.
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