Question

Kevin can paint a small room in 18 hours. Kevin and Caleb together can paint the same room in 15 hours.
How long would it take for Caleb to paint the room alone?

Answer 1

Answer:

90 hours

Step-by-step explanation:

The computation of the time taken for Caleb to paint the room alone is given below:

Given that

Kevin paint a small room in 18 hours

And, kevin & caleb together paint the same room in 15 hours

So, time taken for Caleb to paint the room alone is

Let us assume the same be x

Kevin time taken + caleb time taken = total time taken

$\frac{1}{18} + \frac{1}{x} = \frac{1}{15}\\\\ \frac{1}{x} = \frac{1}{15} - \frac{1}{18}\\\\ \frac{1}{x} = \frac{6-5}{90} \\\\ \frac{1}{x} = \frac{1}{90}$

x = 90 hours