SOLUTION: 15 men plough a land in 14 days working 12 hours daily.How many days will be taken by 21 men to plough the same land, working 10 hours daily?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 15 men plough a land in 14 days working 12 hours daily.How many days will be taken by 21 men to plough the same land, working 10 hours daily?       Log On


   

Question 981664: 15 men plough a land in 14 days working 12 hours daily.How many days will be taken by 21 men to plough the same land, working 10 hours daily?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe easier to use time only in hours and solve for that first.

14 days at 12 hours per day
14*12
168 hours

system%2815r%2A168=1%2C21r%2Ah=1%29

r=1%2F%2815%2A168%29
substitute in the "h" equation.
h=1%2F%2821%2Ar%29
h=%281%2F21%29%28168%2A15%29
h=%28168%2A15%29%2F21
highlight%28h=120%2Ahours%29
-
These hours would then be distrubuted through 10 hours/day, so
highlight%28120%2Ahours%281%2F10%29%28days%2Fhour%29=highlight%2812%2Adays%29%29