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17 August, 15:59

Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour Clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour if they continue at the same rates how many more hours will it take for Naomi and Clair to paint an equal number of square feet

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  1. 17 August, 16:15
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    It will take 4.5 hours for Naomi and Clair to paint an equal number of square feet

    Explanation:

    Let the time in hour it will take for Naomi and Clair to paint an equal number of square feet be t hours.

    Naomi paints 16.5 square feet of a mural at a rate of 2 square feet per hour, so after t hours the are painted by Naomi = 16.5 + 2 * t

    Clair paints 7.5 square feet of the mural at a rate of 4 square feet per hour, so after t hours the are painted by Clair = 7.5 + 4 * t

    We know that after hours the area painted by them are equal, so we have

    16.5 + 2 * t = 7.5 + 4 * t

    2 * t = 16.5 - 7.5 = 9

    t = 4.5 hours.

    So it will take 4.5 hours for Naomi and Clair to paint an equal number of square feet.
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