Question

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. Four people can paint 10 doors in 2 hours. How many people will it take to paint 25 doors in 5 hours?
A)4
B)5
C)10
D)20

Answer 1

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.

Answer 2

Answer:

It is (A.) 4

Step-by-step explanation: