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9 April, 13:19

the morgan famili and the alexander family each ised their sprinkles last summer. the water output was 20. l per hour. The water output rate for the Alexander family 's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in total water output of 1400 L. How long was each sprinkler used?

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  1. 9 April, 13:35
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    number of hours Alexander family 's sprinkler work = 20

    number of hours Morgan family 's sprinkler work = 30

    Step-by-step explanation:

    Given in the question,

    water output rate for the Alexander family 's sprinkler = 40 L

    water output rate for the Morgan family 's sprinkler = 20 L

    Suppose, number of hours Alexander family 's sprinkler work = x

    Suppose, number of hours Morgan family 's sprinkler work = y

    Equation1

    x + y = 50

    Equation 2

    40x + 20y = 1400

    x = 50 - y

    Put this value of x in equation 2

    40 (50-y) + 20y = 1400

    2000 - 40y + 20y = 1400

    -20y = 1400 - 2000

    -20y = - 600

    y = 30

    Put this value of y in equation 1 to get the value of x

    x + 30 = 50

    x = 50 - 30

    x = 20
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