Question

it takes 6 days for three women and two men working together to complete a work in three men would do the same work in 5 days more than 9 home at how many times does the output of a man exceeded the day for me​

Answer 1

Answer:

6 Times efficient

Step-by-step explanation:

Let us assume that 1 woman can do a work in W days, and 1 man can do the same amount of work in M days.

So, 1 woman will do 1/W part of the total work in 1 day, and 1 man will do 1/M part.

So, 3 women can do 3/W amount of work in 1 day, and 2 men can do 2/M amount of work in 1 day.

So, the combined rate of doing work as per question is -

3/W + 2/M = 1/6 ——- (1) (This is the combined amount of work that they will do in 1 day).

Now, as 1 man needs M days to complete the job, so 3 men will require M/3 days to complete it.

Similarly, 9 women will require W/9 days to complete the job.

Now, as per the question, M/3 + 5 = W/9 ——- (2)

Solving, these two equations, we get that W = 90, and M = 15.

We have been asked to calculate the value of W/M = 90/15 = 6.

So, a man is 6 times efficient than a woman.

I hope I was able to answer your question.