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

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