Person A can complete a job in 6 hours. Person B can complete the same job in 4 hours. Working at the same rate, how many hours will it take

Question

Person A can complete a job in 6 hours. Person B can complete the same job in 4 hours. Working at the same rate, how many hours will it take both of them to complete the job?

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Isabella 3 months 2021-10-20T12:51:44+00:00 1 Answer 0 views 0

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    2021-10-20T12:53:29+00:00

    Answer: it will take both of them 2.4 hours to complete the job.

    Step-by-step explanation:

    Person A can complete a job in 6 hours. This means that the rate at which Person A can complete the job per hour is 1/6

    Person B can complete the same job in 4 hours. This means that the rate at which Person A can complete the job per hour is 1/4

    If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

    1/6 + 1/4 = 5/12

    Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

    5/12 = 1/t

    t = 12/5

    t = 2.4 hours

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45:7+7-4:2-5:5*4+35:2 =? ( )