Question

If 5 men or 9 women can do a piece of work in 19 days, then in how many days will 3 men and 6 women do the same work? (Al 12 (Cl 18 (Bl 15 (DI 21

Answer 1

If 5 men and 9 women can do a job in 19 days, how many days will it take 3 men and 6 women to do the same job?

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Amreen Brar, MSc Mathematics

Answered Mar 8

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This question looks wrong. The statement should be 5 men or 9 women.

As 5 men or 9 women can do a piece of work in 19 days so, 5 men = 9 women i.e. 1 man = 9/5 women

Let x be the days required to complete the work when 3 men and 6 women are working.

Applying the formula: M1D1/W1 = M2D2/W2

We can solve this question either using men or using women. Let us solve this question using women.

3 men and 6 women = 3(9/5) + 6 = 57/5 women {As 1 man = 9/5 women}

9(19)/W = (57/5)x/W

On solving, x = 15 days

Read More about the formula used above Chain Rule: Basic Concept Formulas Shortcuts with Solved Examples | Prep4paper

Hope it helps. It is the easiest way of solving this question.

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Rahul Mishra, Studying at Vellore Institute of Technology, Vellore

Answered Feb 4

5 men = 19 days

3 men = 5/3 X 19 = 31.67 days

9 women = 19 days

6 women = 9/6 X 19 = 28.5 days

3 men + 6 women in 1 day = 1/31.67 + 1/28.5 =

= 0.0315756 + 0.0350877 = 0.0666633

= 667 / 10,000

So they will complete the work in 10,000/667 = 14.99 days
approximately-15 days

Answer 2

Please see the attachment