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6 November, 20:53

Two rainstorms occurred in one week. First storm 15 mL of rain fell per hour. Second storm 30 mL of rain fell per hour. The rain lasted for a total of 70 hours with a total of 1500 mL. What was the duration of each storm?

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  1. 7 November, 00:34
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    The answer to your question is the first rain lasted 40 hours and the second rain lasted 30 hours.

    Step-by-step explanation:

    Data

    1st 15 ml/h = x

    2nd 30 ml/h = y

    Total time = 70 h and 1500 ml

    1. - Write 2 equations

    First rain + second rain = 70 h

    x + y = 70 (I)

    15x + 30 y = 1500 (II)

    2. - Solve equations by elimination

    Multiply first equation by - 15

    -15x - 15y = - 1050

    15x + 30y = 1500

    0x + 15y = 450

    y = 450 / 15

    y = 30 h

    x + 30 = 70

    x = 70 - 30

    x = 40 h

    3. - Conclude

    The first rain lasted 40 h and the second rain lasted 30 h.
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