SOLUTION: 14 Masons can be build a wall 12 meters high in 12 days.How many masons will be needed to build a wall 120 meter high in 7 days?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 14 Masons can be build a wall 12 meters high in 12 days.How many masons will be needed to build a wall 120 meter high in 7 days?      Log On


   

Question 1006218: 14 Masons can be build a wall 12 meters high in 12 days.How many masons will be needed to build a wall 120 meter high in 7 days?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
RT=J uniform rates for doing a job. The job is building wall of specified height.
Each mason has a rate r and n masons have a rate nr.

Let n still be a variable for how many masons, unknown number of masons.
system%2814r%2A12=12%2Cnr%2A7=120%29

Solve the system for r and n.
14r=1
r=1%2F14
-
nr%2A7=120
n=120%2F%28r%2A7%29
n=120%2F%287%281%2F14%29%29
n=120%2F%281%2F2%29
highlight%28n=240%29