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Sally can paint a room in 5 hours while it takes Steve 3 hours. How long would it take them to paint if they worked together

User Alan Kent
by
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2 Answers

5 votes
It would be 8 hours because you are adding 5 and 3 to get a total
User Tkingovr
by
7.1k points
3 votes

Answer: it will take them 1.875 hours to paint if they worked together

Explanation:

Sally can paint a room in 5 hours. This means that in 1 hour, 1/5 of the room. Her unit rate is 1/5

Steve 3 hours to paint the same room. It means that his unit rate per hour is 1/3

If they work together, it would take a lesser time because they would be working simultaneously and at their individual rates. It means that their rates are additive. Their combined individual rate will be 1/5 + 1/3

Assuming they worked together and finished the painting in t hours, their combined rate per hour will be 1/t. Therefore

1/5 + 1/3 = 1/t

3 + 5/15 = 1/t

8/15 = 1/t

8t =15

t = 15/8 = 1.875 hours

User Snild Dolkow
by
6.7k points
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