Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?

Question

Mathematics

Trevin

20 July, 04:48

Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?

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Answers (1)

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Juliana Trujillo · Answer 1

So, the rate is 1 job / hours, so:

1/n + 1/1.5n = 1/6

We'll make the denominator 3n:

3/3n + 2/3n = 1/6

5/3n = 1/6

Cross multiply:

3n = 30

n = 10

It will take the slower person 10 hours to complete the room.