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
\(2= k \times \frac{10}{4}\)
\(\frac{2\times 4}{10}= k\)
\(\frac{8}{10}= k\)
\(\frac{4}{5}= k\)
Now we are supposed to find that How many people will it take to paint 25 doors in 5 hours
⇒\(5= k \times \frac{25}{d}\)
⇒\(5=\frac{4}{5} \times \frac{25}{d}\)
⇒\(d=\frac{4}{5} \times\frac{25}{5}\)
⇒\(d=4\)
Hence it will take 4 people to paint 25 doors in 5 hours.
