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
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