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?

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Answer 1 · 2015-11-08T23:41:16

15 hours

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#