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

Answer 1

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.