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14 October, 04:19

Lisa, an experienced shipping clerk, can fill a certain order in 10 hours. Tom, a new clerk, needs 13 hours to do the The

same job. Working together, how long will it take them to fill the order?

(Sin

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  1. 14 October, 07:30
    0
    It takes 6 hours to complete the work for both Lisa and Tom working together.

    Step-by-step explanation:

    step 1:

    Let us assume that,

    Total work = 130 units (take a number that can be divisible by both 10 and 13)

    step 2:

    Lisa completes the work in 10 hours.

    Lisa's work per hour = total work / time taken to complete the work

    = 130 / 10 = 13 units per hour

    step 3:

    Tom completes the work in 13 hours.

    Tom's work per hour = total work / time taken to complete the work

    = 130 / 13 = 10 units per hour

    step 4:

    Both Lisa and Tom can work per hour = 13 units + 10 units

    = 23 units per hour

    step 5:

    Working together can complete the total work in = total work / time taken to complete the work together

    = 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).

    ∴ Time taken by working together = 6 hours.
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