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.
Sep 21Save up to 20% Target Test Prep GRE Plans
01:00 PM EDT
-11:59 PM PDT
Save up to $210 and get ready to crush your GRE score goals. Use the coupon code FLASH20 for the 1- and 6-month plans and coupon code FLASH15 for the LiveTeach bundle.
Sep 30End of Summer Discount!
03:00 PM EDT
-11:00 PM EDT
To end the summer, we are offering a one-time 10% discount on our Silver, Gold, and Platinum packages. If you are targeting R2, now is the time to buy! Valid for purchases made from 9/20 to 9/30.
Oct 03UNC Kenan-Flagler Virtual Open House
10:00 AM EDT
-11:00 AM EDT
Learn about the transformative power of an MBA from top-ranked UNC Kenan-Flagler. We will discuss the application process, curriculum and student life, plus anything else you're curious about. All attendees receive a $150 application fee waiver.
Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
To service a single device in 12 seconds, 700 nanorobots are
[#permalink]
18 Jun 2018, 14:51
18 Jun 2018, 14:51
Expert Reply
4
Bookmarks
00:00
Question Stats:
71% (01:57) correct
28% (02:19) wrong based on 77 sessions
Hide Show timer Statistics
To service a single device in 12 seconds, 700 nanorobots are required, with all nanorobots
working at the same constant rate. How many hours would it take for a single nanorobot to service
12 devices?
(A) \(\frac{7}{3}\)
(B) 28
(C) 108
(D) 1,008
(E) 1,680
_________________
working at the same constant rate. How many hours would it take for a single nanorobot to service
12 devices?
(A) \(\frac{7}{3}\)
(B) 28
(C) 108
(D) 1,008
(E) 1,680
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
Re: To service a single device in 12 seconds, 700 nanorobots are
[#permalink]
28 Jun 2018, 17:09
28 Jun 2018, 17:09
3
1
Bookmarks
sandy wrote:
To service a single device in 12 seconds, 700 nanorobots are required, with all nanorobots
working at the same constant rate. How many hours would it take for a single nanorobot to service
12 devices?
(A) \(\frac{7}{3}\)
(B) 28
(C) 108
(D) 1,008
(E) 1,680
working at the same constant rate. How many hours would it take for a single nanorobot to service
12 devices?
(A) \(\frac{7}{3}\)
(B) 28
(C) 108
(D) 1,008
(E) 1,680
We know
Work = Rate * Time * No. of individual
In first to need to find out the rate
Given time = 12 seconds , No. of Individual = 700 nanorobots and Work = 1
Therefore; 1 = Rate * 12 * 700
or Rate = \(\frac{1}{8400}\)
Now for the second part we have
Work = 12 device, No. of Individual = 1 nanorobots and Rate = \(\frac{1}{8400}\)
Therefore; \(12 =\) \(\frac{1}{8400} * 1 * Time\)
or Time = 12 * 8400 = 100800 seconds = \(\frac{100800}{3600}\)hour = 28 hours
_________________
If you found this post useful, please let me know by pressing the Kudos Button
Rules for Posting
Got 20 Kudos? You can get Free GRE Prep Club Tests
GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests
Rules for Posting
Got 20 Kudos? You can get Free GRE Prep Club Tests
GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests
Retired Moderator
Joined: 07 Jun 2014
Posts: 4806
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: To service a single device in 12 seconds, 700 nanorobots are
[#permalink]
10 Jul 2018, 05:24
10 Jul 2018, 05:24
Expert Reply
Explanation
To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time to this:
Work = Individual Rate × Number of Workers × Time
Solve for an individual nanorobot’s rate, using the fact that 700 nanorobots can service 1 device in 12 seconds. Notice that the “work” here is 1 device:
Work = Individual Rate × Number of Workers × Time
1 device = (R)(700)(12 seconds)
R = \(\frac{1}{8400}\) devices per second.
That is, each nanorobot can service \(\frac{1}{8400}\) of a device in 1 second. Plug that rate back into the formula, but using the details from the second sentence in the problem:
Work = Individual Rate × Number of Workers × Time
12 devices = (\(\frac{1}{8400}\) devices per second)(1)(T)
T = 100,800 seconds
The answer is 100,800 seconds. Divide by 60 to convert this time to 1,680 minutes; divide by 60 again to get 28 hours.
_________________
To solve a Rates & Work problem with multiple workers, modify the standard formula Work = Rate × Time to this:
Work = Individual Rate × Number of Workers × Time
Solve for an individual nanorobot’s rate, using the fact that 700 nanorobots can service 1 device in 12 seconds. Notice that the “work” here is 1 device:
Work = Individual Rate × Number of Workers × Time
1 device = (R)(700)(12 seconds)
R = \(\frac{1}{8400}\) devices per second.
That is, each nanorobot can service \(\frac{1}{8400}\) of a device in 1 second. Plug that rate back into the formula, but using the details from the second sentence in the problem:
Work = Individual Rate × Number of Workers × Time
12 devices = (\(\frac{1}{8400}\) devices per second)(1)(T)
T = 100,800 seconds
The answer is 100,800 seconds. Divide by 60 to convert this time to 1,680 minutes; divide by 60 again to get 28 hours.
_________________
Sandy
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
If you found this post useful, please let me know by pressing the Kudos Button
Try our free Online GRE Test
To service a single device in 12 seconds, 700 nanorobots are
[#permalink]
27 Oct 2021, 09:57
27 Oct 2021, 09:57
1
Individual nanorobot has speed 1/(12*700) to service one device
To service twelve devices, the required time in seconds is 12 divided by individual nanorobot's speed
12 : 1/(12*700) = 144*700 seconds
Hourly time is 144*700/3600 = 28 hours
To service twelve devices, the required time in seconds is 12 divided by individual nanorobot's speed
12 : 1/(12*700) = 144*700 seconds
Hourly time is 144*700/3600 = 28 hours
Re: To service a single device in 12 seconds, 700 nanorobots are
[#permalink]
23 Aug 2023, 23:42
23 Aug 2023, 23:42
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
gmatclubot
Moderators:
|
|
||
Hi Guest,Here are updates for you: |
B