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14 July, 06:04

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

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  1. 14 July, 07:33
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    It would be 8 hours because you are adding 5 and 3 to get a total
  2. 14 July, 07:56
    0
    Answer: it will take them 1.875 hours to paint if they worked together

    Step-by-step 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
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