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5 January, 21:21

Matt can paint a small house in 4 days, Harry can paint a small house in 5 days and Rebecca can paint a small house in 6 days. How long will it take for Matt, Harry and Rebecca to paint one small house together? Give your answer as a fraction.

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  1. 5 January, 23:53
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    60/37 or 1 23/37 hours.

    Step-by-step explanation:

    Work in rates per hour:

    1/4 + 1/5 + 1/6 = 1/x where x is the time taken when they work together.

    Multiply through by the LCD ( = 60x):

    15x + 12x + 10x = 60

    37x = 60

    x = 60/37 = 1 23/37 hours.
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