|
Question 986629: 3 workers can build a small barn in 24 days. How many workers are needed if we want to build 3 in the same length of time (24 days)?
How many workers are needed if we want to accelerate construction and build one barn in 4 days?
On the other hand, if we want to build 3 barns in 4 days, how many workers do we need?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 3 workers can build a small barn in 24 days.
----
# of workers are directly related to # of barns and inversely
related to # of days.
------
w = k*b/d
Solve for k using "3 workers can build a small barn in 24 days"
3 = k*1/24
k = 72
Equation:
w = 72b/d
--------------------
How many workers are needed if we want to build 3 in the same length of time (24 days)?
w = 72*3/24
w = 9 (9 workers are required)
------------------------------------
How many workers are needed if we want to accelerate construction and build one barn in 4 days?
w = 72*1/4
w = 18 (18 workers are required)
----------------------
On the other hand, if we want to build 3 barns in 4 days, how many workers do we need?
w = 72*3/4
w = 54 (54 workers are required)
------------
Cheers,
Stan H.
|
|
|
| |
