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14 September, 04:45

One landscaper works 1.5 times as fast as another landscaper. Find their individual times if it takes 9 hours working together to

complete a certain job.

Lanscaper #1 ___takes

hours

Lanscaper #2 ___takes

hours

+3
Answers (1)
  1. 14 September, 05:09
    0
    The time taken for landscaper 1 is 5.4 hours.

    The time taken for landscaper 2 is 3.6 hours.

    Step-by-step explanation

    Let the time taken by the landscaper 1 to complete the job be 'a'

    Let the time taken by the landscaper 2 to complete the job be 'a/1.5'

    a + (a/1.5) = 9

    (1.5a + a) / 1.5 = 9

    2.5a/1.5 = 9

    5a / 3 = 9

    a = 27/5

    a = 5.4 hours

    a/1.5 = 5.4/1.5

    a/1.5 = 3.6 hours

    The time taken for landscaper 1 is 5.4 hours.

    The time taken for landscaper 2 is 3.6 hours.
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