How can i solve this logic question?

Question

Ana can fix a house in 2 days,Annie can fix a house in 4 days while Anton can fix it in 6 days. How long will it take for them 3 to build a house?

Answer 1

In one day :
Ana can fix 1/2 house
Annie can fix a 1/4 house
Anton can fix a 1/6 house
n = number of days
1/2 * n + 1/4*n + 1/6 * n = 1 house
(1/2 + 1/4 + 1/6) * n = 1
(6/12 + 3/12 + 2/12) * n = 1
11/12 * n = n
n = 12/11 : 1 day 2 hours 10 mns 55 s

Answer 2

Is this a trick question? You state how long it takes them to "fix" a house, and then ask how long it will take them to "build" a house together...

If I assume you are talking about the same thing, then the answer is:

In one day, Annie can do 1/2 of a house, Anton can do 1/4 of a house, and Anton can do 1/6 of a house. So, in one day, together they can do 11/12 of a house.

It will take them 12/11 days.

Answer 3

after 1 day : Ana has 1 house, annie 1/4, anton 1/6
after 2 days : Ana has 2 house,annie 2/4, anton 2/6
after 3 days : Ana has 3 house,annie 3/4, anton 3/6

so at the end of the 3rd day there are 3 houses, provided that it is allowed to annie and anton work on the same house and that it is allowed to add their work.

Answer 4

1/2+1/4+1/6 =1/x
6+3+2 / 12 =1/x
11/12 =1/x
x=12/11 days
the logic is simple ana takes 2 days to do the job so in 1 day she will be doing 1/2 of the job, similarly annie will do 1/4 & anton 1/6...on adding the amount of work done by each party in one day we get the amount of total work done in a day, whihc is 11/12
so 12/11 days are required to complete the work.

Answer 5

One approach is to see how muck work they each do in one day.

Ana does 1/2 a house per day
Annie does 1/4 of a house per day.
Anton does 1/6 house's per day

So in one day they do
1/2 + 1/4 + 1/6 of a house
1/2 + 1/4 + 1/6 = 6/12 + 3/12 + 2/12 = 11/12 of a house

So it will take them 12/11 days to build a house

Answer 6

1 + 1/11 days

Answer 7

ana=2days
annie=4days
anton=6days

both 3= (2+4+6)/3=4days

so it takes 4 days