SOLUTION: How do I plug this problem into My calculator so I can solve?
Jane wants to buy a photocopier. The salesman has the following information on 3 models. If all 3 are used, a speci
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Question 1109172: How do I plug this problem into My calculator so I can solve?
Jane wants to buy a photocopier. The salesman has the following information on 3 models. If all 3 are used, a specific job can be done in 50 minutes. If copier A operates for 20 minutes and copier B for 50 minutes, one-half the job is finished. If copier B operates for 30 minutes and copier C for 80 minutes, three-fifths of the job is done. Which is the fastest copier, and how long does it take for this copier to finish the whole job?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the rate, = [ jobs done ] / [ time in min ]
Let the rates of the 3 copiers = , ,
You can add the rates to get their rate working together.
Also: x time working = fraction of the job completed.
(1)
(2)
(3)
----------------------------------
(2)
(3)
----------------------------------
(2)
(3)
-----------------------------------
(1)
(1)
(1)
(1)
(1)
(1)
(1)
-----------------------------------
(2)
(2)
(2)
(2)
(2)
------------------------------------
(3)
(3)
(3)
(3)
(3)
(3)
------------------------------------
The fastest rate is copier A which is
1 job / 120 min
------------------------------------
check answer:
(1)
(1)
(1)
(1)
OK
You can check (2) and (3)
Find a way to plug the numbers into the calculator, I guess.
Check my math & get 2nd opinion if needed
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
This problem is exactly Problem 7 of the lesson
- Joint-work problems for 3 participants
in this site. See the solution there.
The request regarding calculators seems to be strange.
The problem is/was designed for solution through algebra and logical reasoning and does no assume using calculators.
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