Answer:
4 people
Step-by-step explanation:
We are given that The amount of time it takes p people to paint d doors varies directly with the number of doors inversely with the number of people.
Let constant of propotionality be k
There are 4 people , 10 doors and 2 hours.
Since we are given that time varies directly with no. of doors and inversely with no. of people
[tex]2= k \times \frac{10}{4}[/tex]
[tex]\frac{2\times 4}{10}= k [/tex]
[tex]\frac{8}{10}= k [/tex]
[tex]\frac{4}{5}= k [/tex]
Now we are supposed to find that How many people will it take to paint 25 doors in 5 hours
⇒[tex]5= k \times \frac{25}{d}[/tex]
⇒[tex]5=\frac{4}{5} \times \frac{25}{d}[/tex]
⇒[tex]d=\frac{4}{5} \times\frac{25}{5}[/tex]
⇒[tex]d=4[/tex]
Hence it will take 4 people to paint 25 doors in 5 hours.
