The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of

people. Four people can paint 10 doors in 2 hours. How many people will it take to paint 25 doors in 5 hours?

Step-by-step explanation:

time ∝ number of door 1

time. ∝ 1/number of people. 2

compare equation 1 and 2

time. ∝ number of door / number of people

put k as constant

time = k number of door / number of people. 3

time = 2. people=4 door = 10

putting in equation 3

2 = k (10) / (4)

2*4/10 = k

8/10 = k

4/5 = k

putting in equation 3

time = 4/5 number of door / number of people

now time = 5 door = 25 people=?

5=4/5 (5) / (number of people)

number of people = 4/5 * 25/5

number of people = 4