If Marie were to paint her living room alone, it would take 3

Question

hours. Her sister Violet could do the job in 5
hours. How long would it take them working together? If needed, submit your answer as a fraction reduced to lowest terms.

Answer 1

Let's use the formula:

time = amount of work ÷ rate of work

Let's say that the amount of work is painting the entire living room, and let's call this "1 job."

Marie's rate of work is 1 job ÷ 3 hours = 1/3 job per hour.
Violet's rate of work is 1 job ÷ 5 hours = 1/5 job per hour.

When they work together, they are both contributing to the same job, so we can add their rates of work:

combined rate of work = 1/3 + 1/5
combined rate of work = 8/15

Now we can use the formula to find the time it would take them working together:

time = 1 job ÷ combined rate of work
time = 1 ÷ (8/15)
time = 15/8

Therefore, it would take them working together 15/8 hours, or 1 hour and 52.5 minutes, to paint the living room.

Answer 2

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Answer 3

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