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Naomi paints a section of a fence in 9 hours, and Ramona paints the same amount of fence in 12 hours. How long does it take them to paint the fence if they work together? Round to the nearest tenth.

User Zakhefron
by
8.3k points

1 Answer

6 votes

Answer:

5.1 hours

Explanation:

Given that :

Naomi:

Time taken = 9hours

Rate = 1/9

Ramona :

Time taken = 12 hours

Rate = 1/12

Working together :

Time. Taken = 1 / (sum of their rates)

Time taken = 1 / (1/9 + 1/12)

L. C. M of 9 and 12 = 36

Sum up f their rates :

(4 + 3) / 36 = 7/36

Time taken = 1 / (7/36)

= 36 / 7

= 5.142 = 5.1 hours

User Wickedchicken
by
8.4k points
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