50 men and 60 women can do a piece of work in 5 days, 30 men and 20 women can do the same work in 9 days. Find the time in which 4 men and 6 women will do the same work.?

45 days
40 days
60 days
36 days
None of these

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 60 days

Given:

50M + 60W = 5 (1)

30M + 20W = 9 (2)

As work done in both the case is same,equating both the cases:

250M + 300W = 270M + 180W

⇒ 120W = 20 M

⇒ 6W = M (3)

Now, Total work = 250M + 300W = 270M + 180W

Putting the value of M in equation (1)

Total work = 250M + 300W

⇒ Total work = 250(6W) + 300W

⇒ Total work = 1800W

Now,

4M + 6W = 4(6W) + 6W = 30W

∴ Number of days in which 4M and 6W can complete the work = 1800W/30W = 60 days

4 views Answered 2022-09-04 04:29

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