8 men and 2 women together can finish a piece of work in 24 days. In how much time will 40 men and45 women together complete 1.5 times the work, if the work done by 16 men in 8 hours is equal to thework done by 2 women in 24 hours?Question 1Answera.10b.9c.3d.6

First, let's find out the work done by one man and one woman in one day.

According to the problem, 16 men can do the same amount of work in 8 hours as 2 women can do in 24 hours. This means that the work done by 8 men in 24 hours is equal to the work done by 1 woman in 24 hours. Therefore, 1 man does 1/8 of the work that 1 woman does in the same time period.

Now, let's find out how much work 8 men and 2 women can do in one day. Since 1 man does 1/8 of the work that 1 woman does, 8 men will do the same amount of work as 1 woman. Therefore, 8 men and 2 women together will do the work of 3 women in one day.

According to the problem, 8 men and 2 women can finish the work in 24 days. This means that 3 women can finish the work in 24 days. Therefore, 1 woman can finish the work in 24*3 = 72 days.

Now, let's find out how much time 40 men and 45 women will take to complete 1.5 times the work. Since 40 men do the same amount of work as 5 women (because 1 man does 1/8 of the work that 1 woman does), 40 men and 45 women together will do the work of 50 women.

If 1 woman can finish the work in 72 days, 50 women can finish the work in 72/50 = 1.44 days. Therefore, 50 women will take 1.44*1.5 = 2.16 days to complete 1.5 times the work.

So, the answer is approximately 2.16 days, which is not listed in the options. There might be a mistake in the problem or the options.