Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if they work toge

Question

Seth can build a doghouse in 6 hours. Violet can build a doghouse in 5 hours. How long will it take to build the dog house if they work together?

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Allison 2 weeks 2021-09-11T08:57:30+00:00 1 Answer 0

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    2021-09-11T08:59:27+00:00

    Answer:

    It will take a total of 2.73 hours if they worked together

    Step-by-step explanation:

    Here, we are seeking to calculate the joint rate.

    Let the amount of work to be done is say x

    Seth’s rate will be x/6 , while violet’s rate will be x/5

    Their joint rate will be ;

    x/6 + x/5 = 11x/30

    The time it will take them to build the house together will be equal to the amount of work divided by the joint rate.

    That will be x divided by 11x/30

    = x * 30/11x

    = 30/11 hours which is Approximately 2.73 hours

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