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

Question

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

in progress
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Math
2 weeks
2022-01-12T19:36:34+00:00
2022-01-12T19:36:34+00:00 1 Answer
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## Answers ( )

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.