Chapter A.8, Problem 34AYU

To determine

To find: How long will it take her to paint four rooms?

Answer to Problem 34AYU

April alone will take 15 hours to paint four rooms.

Explanation of Solution

Given:

Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone.

Calculation:

$\frac{1}{10}+\frac{1}{A}=\frac{1}{6}$

$6A+60=10A$

$A=15$

Therefore April alone will take 15 hours to paint four rooms.