Question

If 4 boys or 3 men can complete a work in 10 days, how many days will it take for 4 men and 3 boys to finish the work

Answer 1

Step-by-step explanation:

3 men can do the job in: 20 days

6 boys can do the job in: 20 days

So, we now need to find how much days can 1 boy and 1 man can do the work in so:

1 man can do the job in: 3 * 20 = 60 days

1 boy can do the job in: 6 * 20 = 120 days

So, to confirm 3 men and 6 boys can really do the work in 20 days:

4 Boys: 6/120 = reduce the fraction = 1/20

3 Men: 3/60 = reduce the fraction = 1/20

Now we can do the same process with 4 men and 12 boys:

Boys: 12/120 = reduce the fraction = 1/10

Men: 4/60 = reduce the fraction = 1/15

Now we need to see the number of days this crew can complete the work in so:

1/15 + 1/10 = change the denominators = 2/30 + 3/30 = 5/30 = reduce the fraction = 1/6

Therefore, they can do the work in: 6 days

To confirm:

1 man could do the job in: 4 * 6 = 24 days

1 boy could do the job in: 12 * 6 = 72 days

To confirm, they really can do the job in 6 days:

12 boys: 12/72 = reduce the fraction = 1/6

4 men: 4/24 = reduce the fraction = 1/6

Answer 2

Answer:

That time ,the 4 boys can until doing the work for 4 men and boys also take time ro finish the work