Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

Question

Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

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Trung Dũng 1 year 2021-09-02T01:57:42+00:00 1 Answers 2 views 0

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    2021-09-02T01:59:25+00:00

    Answer:

    1.2 hours

    Step-by-step explanation:

    Given the following :

    Time taken by Adam to shovel driveway = 2 hours

    Time taken by BEV to shovel highway = 3 hours

    How long will it take them working together

    Hence Adam’s rate of shoveling per hour :

    Reciprocal of time taken = 1/2 per hour

    BEV’s rate will also be ;

    1/ 3 per hour

    If both work together ; that is combining the rate :

    1/2 + 1/3 = (3 + 2) = 5/6

    Combined rate = 5/6

    Total fraction of shoveled area = 1:

    Time taken = area / rate

    = 1 ÷ (5/6)

    = 1 × (6 / 5)

    = 6/5

    = 1 1/5 hours = 1.2 hours

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