Kendall can paint a whole set in 10 hours. when she works together with dan, they can paint the set in 6 hours. how long would it take dan to paint the set alone?

1 Answer
Nov 8, 2015

15 hours

Explanation:

Kendall can paint alone in 10 hours.
This means in 1 hour, she can do 1/10 of the paint-job.

Let x be the time required for Dan to paint alone.
In 1 hour, Dan can finish 1/x of the paint-job

When working together, they finish the paint-job in 6 hours.

6/10 + 6/x = 1

=> 6x + 60 = 10x

=> 60 = 4x

=> x = 15