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18 November, 02:59

An experienced bricklayer can construct a small wall in 4 hours. an apprentice can complete the job in 12 hours. find how long it takes if they work together.

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  1. 18 November, 04:33
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    Experienced worker takes 4hr to complete so in 1hr it would be 1/4 completed.

    Apprentice worker takes 12hrs to complete, so in 1hr it would be 1/12 completed.

    Team effort X hours and 1/X part of the job completed in an hour.

    Set up:

    1/4 + 1/12 = 1/x

    Get the denominators the same to add. So multiply the left side by 3.

    3/12 + 1/12 = 1/x

    Combine like terms.

    4/12 = 1/x

    Cross multiply.

    4x = 12

    Dived by 4 on both sides

    X = 3 hrs if they work together.

    The answer is 3.
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