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18 August, 04:20

It takes Destiny y 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work together, how long will it take them?

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  1. 18 August, 07:21
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    Answer: it will take them 2.22 hours working together.

    Step-by-step explanation:

    It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be

    1/4 per hour.

    It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be

    1/5 per hour.

    If they work together, they would work at their own individual rates. This means that their individual rates are additive.

    Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,

    1/4 + 1/5 = 1/t

    9/20 = 1/t

    t = 20/9 = 2.22 hours
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