Question

If Violet were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 7 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answer 1

It will take both of them 2 11/12 hours to complete the room

Fractions and proportions

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

Let the time it will take them to complete the job together be "x" such that;

1/x = 1/5 + 1/7

Simplify

1/x = 7+5/35

1/x = 12/35

Cross multiply

12x = 35

x = 35/12

x = 2 11/12 hours

Therefore it will take both of them 2 11/12 hours to complete the room

Learn more on fractions here: brainly.com/question/78672

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