Joseph had to type an article containing 10,000 words. How many minutes did it take him? (1) Joseph and Kelly together can type a 75,000-wor

Question

Joseph had to type an article containing 10,000 words. How many minutes did it take him? (1) Joseph and Kelly together can type a 75,000-word article in an hour and a half. (2) Joseph types twice as fast as Kelly does.

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Hailey 1 week 2021-09-15T02:46:37+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T02:47:45+00:00

    Answer:

    Joseph take 18 minute to type 10,000 words

    Step-by-step explanation:

    Given Data

    J (Joseph) and K (Kelly) together type=75,000 words at 90 minutes

        Means J+K=75,000 at 90 minutes

    Joseph types twice of Kelly

    Means J=2xK

    To find

    Joseph type =10000 words at time=?? minutes

    Solution

    J+K=75,000

    As we Known J=2xK

    So

    2K+K=75,000

    K=75,000/3

    K=25,000 Means Kelly typed 25,000 words out of 75,000

    J=75,000-25,000

    J=50,000 Means Joseph typed 50,000 words out of 75,000

    So Joseph Typed 50,000 words at 90 minutes and each word time taken as

    J=50,000/90

    Joseph typed=555.5 words per minute

    Now For Joseph type 10,000 words at time

    J=10,000/555.5

    Joseph Time taken=18 minutes to type 10000 words

    0
    2021-09-15T02:48:04+00:00

    Answer:

      0.3 hour or 18 minutes

    Step-by-step explanation:

    Kelly types half as fast as Joseph, so in the time it takes Joseph to type 10,000 words, Kelly can type 5000. That means they can type 15,000 words working together for that time. We are given their “working together” typing speed, so we can write the proportion …

      (time for 15000 words)/(15000 words) = 1.5 hours/(75000 words)

    Multiplying by 15000 gives …

      (time for 15000 words) = (1.5 hours)×(15000/75000) = 1.5/5 hours

      time for 15000 words = 0.3 hours = 18 minutes

    Joseph can type a 10,000 word article in 0.3 hours, or 18 minutes.

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