Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instruction

Question

Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish? Sakura spoke for__________ minutes in Hungarian and for______________ minutes in Polish.

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Josephine 2 weeks 2021-10-08T10:11:37+00:00 1 Answer 0

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    2021-10-08T10:12:51+00:00

    Answer:

    The answer to the question is

    Sakura spoke for___two_______ minutes in Hungarian and for_____three_________ minutes in Polish.

    Step-by-step explanation:

    To answer the question, we note that

    Average speech rate for Hungarian = 150 words per minute

    Average speech rate for Polish= 190 words per minute

    Language used of cooking instruction = Hungarian

    Language used of cleaning instruction = Polish

    Total time for both instructions = 5 minutes

    Number of words in Polish = 270 + Number of words in Hungarian

    Let x be the number of words in Hungarian for the cooking instruction

    Then we have x ÷ 150 words/min + (270 + x) ÷ 190 words/min = 5 minutes

    That is \frac{x}{150} +\frac{x+270}{190}  = 5  which gives \frac{17x+2025}{1425} = 5 or 17·x = 5100

    whereby x = 300 words

    Therefore we have  \frac{300}{150} minutes . Hungarian +\frac{300+270}{190}  minutes .Polish = 5 minutes.total  =

    Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

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45:7+7-4:2-5:5*4+35:2 =? ( )