Question

If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise

could do the job in 8 hours. How long would it take them working together? If needed,
submit your answer as a fraction reduced to lowest terms.

Please show steps !! my last test for the semester!! 20 points PLEASE!!!

Answer 1

r1 =6

r2 =8

t = ?

[(1/r1) * t] + [(1/r2)*t] = 1

t/6 + t/8 = 1

multiply by common denominator... 24

24 (t/6 + t/8 = 1)

4t + 3t =24

7t = 24

t = 24/7 = 3.4hrs