One landscaper works 1.5 times as fast as another landscaper. Find their individual times if it takes 9 hours working together t
o
complete a certain job.
Lanscaper #1 ___takes
hours
Lanscaper #2 ___takes
hours
1 answer:
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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