5 men or 3 women can do a work in 24 days. How long 5 men and 6 women

1.	5 men or 3 women can do a work in 24 days. How long 5 men and 6 women take to do it?1. 4 days2. 8 days3. 12 days4. 16 days
Answer» Correct Answer - Option 2 : 8 days Given: 5 men can do work in = 24 days 3 women can do work in = 24 days Formula Used: Number of people × Number of days = Total work Calculation: According to question 5M = 3W So, ⇒ (5/3)M = W Total work done by all 5 men = 24 × 5M …………………………(1) Now, Number of people × Number of days = Total work ⇒ (5M + 6W) × Number of days = 24 × 5M ………………………. (2) From equation (1) and (2) ⇒ (5M + 6 × 5M/3) × Number of days = 24 × 5M ⇒ (5M + 10M) × Number of days = 24 × Number of days ⇒ Number of days = 24 × 5M/15M ⇒ Number of days = 8 ∴ 5 men and 6 women will complete the same work in 8 days. The correct option is 2 i.e. 8 days

5 men or 3 women can do a work in 24 days. How long 5 men and 6 women take to do it?1. 4 days2. 8 days3. 12 days4. 16 days

Answer» Correct Answer - Option 2 : 8 days

Given:

5 men can do work in = 24 days

3 women can do work in = 24 days

Formula Used:

Number of people × Number of days = Total work

Calculation:

According to question

5M = 3W

So,

⇒ (5/3)M = W

Total work done by all 5 men = 24 × 5M …………………………(1)

Now,

Number of people × Number of days = Total work

⇒ (5M + 6W) × Number of days = 24 × 5M ………………………. (2)

From equation (1) and (2)

⇒ (5M + 6 × 5M/3) × Number of days = 24 × 5M

⇒ (5M + 10M) × Number of days = 24 × Number of days

⇒ Number of days = 24 × 5M/15M

⇒ Number of days = 8

∴ 5 men and 6 women will complete the same work in 8 days.

The correct option is 2 i.e. 8 days

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