If 12 men working 8 hours a day can complete a task in 16 days. If the same task must be completed in 8 days, how many more people would be required if all them work for 12 hours a day?
Answers
Step-by-step explanation:
In 16 days working 8 hrs work is completed by 12 men
So in 1 day working 8 hrs work is completed by 12×16 men
In 1 day working 1 hr work is completed by 12 ×16×8
in 8 days working 12 hrs work is completed by 12×16×8÷(8×12)
=16
So more men required =16
Given,
12 men complete a task in 16 days working 8 hours a day
To Find,
The number of men required to complete task in 8 days if all of them work for 12 hours a day =?
Solution,
Case 1:
Total men(m1) = 12
Total days(d1) = 16
Time(t1) = 8 hours a day
The work done by 12 men =m1*d1*t1
Case 2:
Let the number of men required to complete task in 8 days if all of them work for 12 hours a day be m2
Now, the time(t2) = 12 hours a day
Total days(d2) = 8 days
Word done = 12 * 8 *m2
The work done is the same in both cases.
Therefore,
m1*d1*t1 = m2*d2*t2
12*16*8 = 8*12*m2
m2 = 12*16*8/(8*12)
m2 = 16 men
Hence, if the same task must be completed in 8 days, 16 people would be required if all them work for 12 hours a day.