A certain number of men can finish a job in 36 days . If 6 more men are hired , the work gets finished in 30 days . The number of men present originally is : *
Answers
Given:
A certain number of men can finish a job in 36 days . If 6 more men are hired , the work gets finished in 30 days.
To find:
The number of men present originally.
Solution:
From the given information, we have the data as follows.
A certain number of men can finish a job in 36 days . If 6 more men are hired , the work gets finished in 30 days.
The formula to be used is given as follows.
(men × days) / work of first situation = (men × days) / work of second situation
(x × 30) / 1 = [(x + 5) × (30 - 10)] / 1
30 x = 20 x + 100
3 x = 2 x + 10
x = 10
Therefore, the number of men present originally is 10.
Given,
Certain number of people can finish job in = 36 days
If 6 more men are hired then the job will be finished in 30 days
To find,
The initial number of men.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the initial number of men = x
x men can finish in = 36 days
1 man can finish in = 36x days
x+6 men can finish in = 36x/(x+6) days
According to the data mentioned in the question,
36x/(x+6) = 30
36x = 30x+180
6x = 180
x = 30
Hence, there was originally 30 men