Respuesta :
Answer:
It would take 10 days for 2 people working for 5 hours a day to fix a road.
Step-by-step explanation:
Given:
Let the number of people be denoted by 'p'.
Let the number of hours be denoted by 'h'.
Let the number of days be denoted by 'd'.
Solution:
Now given:
Case 1:
It take 10 people working 2 hours a day 5 days.
so we can say that;
[tex]p_1=10[/tex]
[tex]h_2=2[/tex]
[tex]d_2=5[/tex]
Now we can say that.
Job Completed can be calculated by multiplying number of people with number of hours and number of days.
So we can say that;
Job Completed = [tex]p_1\times h_1 \times d_1 =10\times 2\times 5 =100[/tex]
Case 2:
We need to find the how many days will it take 2 people working 5 hours a day to fix a road.
So we can say that;
[tex]p_2=2[/tex]
[tex]h_2=5[/tex]
[tex]d_2=?[/tex]
Now we know that;
Job Completed = [tex]p_1\times h_1 \times d_2 =2\times 5\times d_2 =10d_2[/tex]
Now we know that Job completed would be the same so we can say that;
[tex]10d_2=100[/tex]
Dividing both side by 10 we get;
[tex]\frac{10d_2}{10}=\frac{100}{10}\\\\d_2=10\ days[/tex]
Hence we can say that It would take 10 days for 2 people working for 5 hours a day to fix a road.
