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19 December, 00:55

Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together?

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  1. 19 December, 01:19
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    Let 'x' represent the number of days that Kaitlyn and Mark need to build the shed together, x>0.

    Kaitlyn can build a shed in 6 days thus her rate is 1/6 shed per day.

    Mark can build the same shed in 8 days thus his rate is 1/8 shed per day.

    The together rate is 1/x shed per day.

    1/6 + 1/8 = 1/x

    x = 24/7 days

    x = 3 days (3/7) 24 hr

    x = 3 days 10 hr

    Kaitlyn and Mark will need 3 days and 10 hours to build the shed together.
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