If it takes 4 workers 3 days to frame 2 houses, how many days will it take 3 workers to frame 5 houses?

Question

Asssuming that they work the same rate?

Someone answer me that ASAP!

I think it might be 2

Answer 1

Rate = 2 houses / (4 workers * 3 days)
Rate = 1/6 house per worker per day.

3 workers * n days * 1/6 house/worker = 5 houses
n = 5 * 6 / 3
n = 30 / 3
n = 10 days

Answer 2

Just do this one step at a time, converting each number to the one we want. Note that more workers <-> less days, more workers <-> more houses, more days <-> more houses.
4 workers - 3 days - 2 houses
(multiply workers by 3/4; thus divide days by 3/4)
3 workers - 4 days - 2 houses
(multiply houses by 5/2; thus multiply days by 5/2)
3 workers - 10 days - 5 houses.

So 10 days.
All you have to do is know which one goes up when another one goes down; then just take a pair of variables, and either divide or multiply as appropriate.

Answer 3

It takes 1 worker 3 days to frame 1/2 of a house.

1 worker can fram 1/6 of a house in 1 day

3 workers can frame 1/2 houses in 1 day.

To frame 5 houses, it will take:

5 houses * 1 day / 0.5 houses = 10 days.

Answer 4

10

Answer 5

3 days / 2 house / 4 workers = 3/8 days/house/worker
3/8 days/house/worker x 3 workers = 9/8 days/ house
9/8 days/ house x 5 house = 45/8 days or 5-5/8 days
If your convert 5/8 days to hours (5/8 x 24 = 16 hours)
Then the answer is 5 days 16 hours.

Answer 6

3 days equals 72 hours
72 hours is 36 hourss a house
each worker put in 18 hours

36 hours/ house times 5 houses is 180 hours

180 hours for 5 houses
each worker puts in 18 hours
18 hours divided by 180 is 10
it will take 10 days

im only a freshman in hs and i take algebra 2..im pret sure

Answer 7

4 workers*3 days = 12 worker-days to frame 2 houses so it takes 6 worker-days/frame.
to frame 5 houses takes
5frames*6worker-days/frame=30worker-days
30 worker-says/3workers=10days.

Answer 8

are they the same workers at the same speed