Question

If 4 men or 6 women can do a piece of work in
24 days, then how many men should join 3 women
to complete the work in 16 days?
(a) 6
(b) 5
(c) 4
(d) 2​

Answer 1

Answer:

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Answer 2

So we have to find how many men are needed to join 3 women to complete it in 16 days.

Here 4 men or 6 women can do a piece of work in 24 days. The latter says that the time required to complete the piece of work by 4 men or 6 women are same.

We know that the time needed to complete a piece of work is inversely proportional to the no. of workers needed to complete it.

Here, since 6 women complete the job in 24 days, the constant of proportionality is 6 × 24 = 144 (since both are inversely proportional). This says that a woman needs a total of 144 days to complete the whole piece of work.

Then, no. of women needed to complete the job in 16 days will be,

144 / 16 = 9.

Hence, a total of 9 women, i.e., 3 women plus 6 women, complete the piece of work in 16 days.

But, since 6 women takes the same time as that of 4 men to complete the job, we can say that 3 women plus 4 men can complete the piece of work in 16 days.

This says that 4 men should join 3 women to complete the piece of work in 16 days.

Hence the answer is nothing but (c) 4.

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