SOLUTION: One watering system needs about 3 times as long to complete a job as another watering system. When both systems operate at the same time, the job can be completed in 9 minutes. How
Algebra ->
Expressions-with-variables
-> SOLUTION: One watering system needs about 3 times as long to complete a job as another watering system. When both systems operate at the same time, the job can be completed in 9 minutes. How
Log On
Question 120245This question is from textbook Prentice Hall Algebra 1
: One watering system needs about 3 times as long to complete a job as another watering system. When both systems operate at the same time, the job can be completed in 9 minutes. How long does it take each system to do the job alone?
Thanks.
Eli This question is from textbook Prentice Hall Algebra 1
You can put this solution on YOUR website! One watering system needs about 3 times as long to complete a job as another watering system. When both systems operate at the same time, the job can be completed in 9 minutes. How long does it take each system to do the job alone?
-----------------
1st system DATA:
Time = 3x minutes/job ; Rate = 1/(3x) job/min
------------------
2nd system DATA:
Time = x minutes/job ; Rate = 1/x job/min
-------------------
Together DATA:
Time = 9 min/job ; Rate = 1/9 job/min
--------------------
EQUATION:
rate + rate = together rate
1/(3x) + 1/x = 1/9
Multiply thru by 27x to get:
9 + 27 = 3x
36 = 3x
x = 12 min (time for 2nd system to do the job alone)
-------
3x = 36 min (time for the 1st system to do the job alone)
=====================
Cheers,
Stan H.
(