Answer:

15 days

Step-by-step explanation:

Solution of the given problem is shown below,

Let W denotes the whole given work.

It is mentioned that 21 women can complete the work W in 20 days by working 10 hours a day. Hence,

1 woman in 1 hr can complete

the amount of work = W/21/(20*10) …… (1)

Let D denotes the number of days that will be required by 21 men to complete the work W by working 8 hrs a day. Hence,

1 man in 1 hr can complete

the amount of work = W/21/(D*8) …… (2)

It is mentioned that 3 men work as much as 5 women. Hence,

From (2) & (1) we get,

3*[W/21/(D*8)] = 5*[W/21/(20*10)]

or 3/(D*8) = 1/40 or D*8 = 120 or D = 15 (days) [Ans]

Two men and 3 women can complete a work in 10 days, while 3 men and 2 women can complete it in 8 days. In how many days can 2 men and 1 woman complete the work?

15 people work in 8 hours a day to complete any work within 21 days. If 3 women work as much as 2 men do, then how many women will complete that work by working 6 hours a day?

2 men, 4 women, or 8 BOYS can finish a piece of work in 33 days, working hours a day. In how many days will 1 man, 2 women, and 3 boys finish the work while working 6 hours a day?

16 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each WOULD 21 women take to do the same. If 3 women do as much work as 2 men?

4 men and 2 women can complete one-third of the work in 4 days, while 5 men and 4 women can complete the whole work in 8 days. In how many days would 18 men finish the whole work?

According to the question,

3 men equivalent to 5 women

21 men will be equivalent to 35 women.

Now,

21 women working 10 hrs a day completes in 20 days

1 woman working 10 hrs a day will complete in 21×20= 420 days

35 Women working 10 hrs a day will complete it in 420/35=12 days

35 Women working 1 hr a day will complete the same work in 12×10= 120days

35 Women working 8 hrs a day will complete the same work in 120÷8= 15 days.

35 women is equal to 21 men as PROVED earlier.

Hence, 21 men working 8 hrs a day will complete the work in 15 days.

Thanks for asking.

21 women complete a piece of work in 20 days by working 10 hours a day

So 21 women complete a piece of work in (20×10) 200 hours.

One woman will complete the work in (21×200) 4200 hours.

3 men work as much as 5 women, so 1 man can complete 5/3 work in 1 hour compared to 1 woman.

So compared to a work completed by 1 woman in 4200 hours, 1 man can complete same work in (4200)/(5/3) hours i.e. 840 × 3 = 2520 hours.

If 21 men work together, they can complete the whole work in 2520/21 = 120 hours.

And if they work 8 hours a day, they can complete the work in 120/8 = 15 days.

So the answer is 15 days.

If 10 people complete their work in 8 days,