Question

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?

Answer 1

4

Explanation:

Answer 2

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