15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours
Answers
Step-by-step explanation:
Given :-
15 workers can build a wall in 48 hours.
To find :-
How many workers will be required to do the same work in 30 hours ?
Solution :-
Given that
Number of men M1 = 15 and M2 = X
Number of working hours H1 = 48 and H2 = 30
We know that
Number of men is inversely proportional to number of working hours
=> M ∞ 1/H
=> MH = k , a constant
=> M1 H1 = M2 H2
=> 15×48 = X×30
=> X = 15×48/30
=> X = 24
Number of men = 24
Alternative Method:-
Number of men can build a wall in 48 hours = 15
Total working hours = 15×48 = 720
Let the number of men to do the same work in 30 hours be X
Total working hours = 30×X = 30X
They do same work
So, 30X = 720
=> X = 720/30
=> X = 24
The required number of men = 24
Answer:-
The required number of men to do the same work in 30 hours is 24
Used formulae:-
→ Number of men is inversely proportional to number of working hours
=> M ∞ 1/H
=> MH = k , a constant