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26 December, 06:34

Three postal workers can sort a stack of mail in 35 minutes, 30 minutes, and 210 minutes, respectively. Find how long it takes them to sort the mail if all three work together.

The time it takes for all three to complete the job is ___ minutes.

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  1. 26 December, 06:40
    0
    The time it takes for all three of them to complete the job is 15 minutes.

    Step-by-step explanation:

    Three postal workers can sort a stack of mail in 35 minutes, 30 minutes and 210 minutes respectively.

    The rate for each person to stack a mail can be represented as

    rate1 = 1/35

    rate2 = 1/30

    rate3 = 1/210

    let t = time in minutes

    1/35 + 1/30 + 1/210 = 1/t

    find the common factor of the denominator

    (6 + 7 + 1) / 210

    14/210 = 1/t

    cross multiply

    14t = 210

    divide both sides by 14

    t = 210/14

    t = 15

    The time it takes for all three of them to complete the job is 15 minutes.
  2. 26 December, 06:56
    0
    92 minutes

    Step-by-step explanation:

    Find the average of the numbers by adding them all together, then dividing the sum by three.
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