If it took 8 people 10 hours to build a barn, how long would it take 14 people to build the same barn?
Answers
Answer:
5.7 hours approximately
Step-by-step explanation:
1 people work in 8*10=80h
14 people's complete work in 80divided by 14
= 5.7 hours
Step-by-step explanation:
Given:-
It took 8 people 10 hours to build a barn.
To find:-
How long would it take 14 people to build the same barn?
Solution:-
General Method:-
Number of people = 8
Number of hours = 10
Given that
8 people can build a barn in 10 hours
Total working hours = 8×10 = 80 hours
Number of people = 14
Let the required hours to build the same barn by 14 people be X hours
Total working hours = 14X hours
Both the same work then
=> 14X = 80
=> X = 80/14
=> X = 40/7 hours
or
=> X = 5 5/7 hours
Alternative Method:-
Number of people M1 = 8 and M2 = 14
Number of hours H1=10 hours , H2 = X hours
Number of people is inversely proportional to the number of hours
=> M1H1 = M2H2
=> 10×8 = 14×x
=> 14×X = 80
=> X = 80/14
=> X = 40/7 hours
=> X = 5 5/7 hours
Answer:-
The required hours to build the barn by 14 people is 40/7 hours or 5 5/7 hours.
Used formulae:-
Number of people is inversely proportional to the number of hours=> M1H1 = M2H2