SOLUTION: A painter can paint a racquetball court in 8 hours. His assistant needs an additional 2 hours to paint the same court working by himself. How long will it take both of them working

Question 338251: A painter can paint a racquetball court in 8 hours. His assistant needs an additional 2 hours to paint the same court working by himself. How long will it take both of them working together to paint the court. Thank You
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
each one paints a FRACTION of the court , based on their individual rates
___ the fractions sum to 1 (the whole court)

let x="combined time"

(x/8) + [x/(8+2)] = 1 ___ (x/8) + (x/10) = 1

multiplying by 40 (LCD) ___ 5x + 4x = 40 ___ 9x = 40

dividing by 9 ___ x = 40/9

4 hr 26 min 40 sec
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