4 women or 6 boys can finish a work in the same number of days. A man can finish it in 60 days. In how many days can 5 women finish the work, working together every day?

To solve this problem, we first need to establish a relationship between the work rates of the women, boys, and the man.

Let the amount of work done by 1 woman in one day be W, and the amount of work done by 1 boy in one day be B.

From the information provided:

4 women = 6 boys in terms of work rate. Therefore,

4W = 6B → W = (6/4)B → W = (3/2)B.

Now let’s determine the combined work rates:

– The work done by 4 women in one day is 4W = 4 * (3/2)B = 6B.

– The work done by 6 boys in one day is 6B.

This means 4 women can complete the same amount of work in the same time as 6 boys.

Next, let’s find the amount of work done by a man:

A man can finish the work in 60 days, so if we denote the total work as 1 unit, then the work rate of the man (M) is:

M = 1/60 units of work per day.

Now, we need to relate the man’s work rate to the women’s. Since we established that 4 women can do the work equivalent to 6 boys, we need to solve for how many days 5 women will take to finish the work.

From our earlier calculation:

1 man’s work rate =