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antiseptic1488 [7]
3 years ago
7

If patricia were to paint her living room alone, it would take 4 hours. her sister naomi could do the job in 5 hours. how long w

ould it take them working together? if needed, submit your answer as a fraction reduced to lowest terms.
Business
1 answer:
Mila [183]3 years ago
4 0

Practicia completes the job in one hour = 1/4

Naoimi completes the job in one hour = 1/5

If Parcticia and Naoimi does it together,let us suppose in x number of hours.

The equation so form is:

(1/4)*x + (1/6)*x = 1 (i.e job finished)

The Least common multiple(LCM) of 4 and 6 = 12

12*(1/4)*x + 12*(1/6)*x = 12*1

Therefore, solving the equation we get,

3x + 2x = 12

5x = 12

x = 12/5

x= 2 2/5 hours or 2.24 hours

Therefore number of hours they took to complete the work is 2 hours and 24 minutes or 2.24 hours.

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Irina18 [472]

Answer:

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Explanation:

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4 0
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Sveta_85 [38]

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8 0
3 years ago
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victus00 [196]
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