GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
At a certain factory, each of Machines A, B, and C is periodically on
[#permalink]
16 Sep 2021, 21:31
16 Sep 2021, 21:31
2
7
Bookmarks
00:00
Question Stats:
59% (02:58) correct
40% (02:16) wrong based on 27 sessions
Hide Show timer Statistics
Attachment:
At a certain factory, each of Machines A, B, and C is periodically on for exactly 1 minute.png [ 5.79 KiB | Viewed 3335 times ]
At a certain factory, each of Machines A, B, and C is periodically on for exactly 1 minute and periodically off for a fixed number of consecutive minutes as shown in the table above. When Machine A is on it uses 15 units of power every 18th minute, Machine B uses 18 units of power every 15th minute, and Machine C uses 12 units of power every 12th minute. The factory has a backup generator that operates only when the total power usage of the 3 machines exceeds 30 units of power.
Quantity A |
Quantity B |
Time interval (in min.) between consecutive times the backup generator begins to operate |
180 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: At a certain factory, each of Machines A, B, and C is periodically on
[#permalink]
17 Sep 2021, 05:45
17 Sep 2021, 05:45
1
Bookmarks
Though there are 3 machines, just machine A and B running concurrently can consume more than 30 units of power. So LCM of times intervals of A and B is LCM(18,15) = 90.
Answer is B) Quantity B is larger.
Answer is B) Quantity B is larger.
At a certain factory, each of Machines A, B, and C is periodically on
[#permalink]
03 Mar 2023, 04:10
03 Mar 2023, 04:10
2
Firstly the problem as about the Total time interva between the Machine A and the backup.
Let's add the total power consumed for the minutes of A,B and C.It is 15+18_12 = 45 units/However the machine backup works as soon as 30 units are are consumed. We formulate 2 equations :
45 UNITS = 42 minutes. 30 units = " x". so simplify gives a value of 28minutes which is way lesser than quantity "180". so "180" is greater.
Let's add the total power consumed for the minutes of A,B and C.It is 15+18_12 = 45 units/However the machine backup works as soon as 30 units are are consumed. We formulate 2 equations :
45 UNITS = 42 minutes. 30 units = " x". so simplify gives a value of 28minutes which is way lesser than quantity "180". so "180" is greater.
