Carcass wrote:
If it takes three days for 10 workers to finish building one house, how many days will it take 15 workers to finish four houses?
\(Days =\)
Another approach for questions like this is to
assign a nice value to the job
Given: it takes three days for 10 workers to finish building one houseA nice number that works well with the numbers 3 and 10 is 30 (30 is the least common multiple of 3 and 10)
So, let's say one house has 30 rooms.
In other words, building ONE house requires the workers to build 30 rooms.
If 10 workers can build 30 rooms (aka one house) in
3 days, then in
1 day, the 10 workers can build 10 rooms.
If
10 workers can build 10 rooms in ONE DAY, then 1 worker can build
1 room in ONE DAY
How many days will it take 15 workers to finish four houses?Our goal is to build 4 houses, which is the same as building
120 ROOMSIf 1 worker can build 1 room per day, then 15 workers can build a total of
15 rooms per day.
So, the number of days to build
120 ROOMS =
120/
15 = 8 days
Answer: 8