SOLUTION: How many nanoseconds (1 nanosecond = 10^-9 s) does it take a computer signal to travel 60 cm at a rate of 2.4*10^10 cm/s ? Thank you

Question 286433: How many nanoseconds (1 nanosecond = 10^-9 s) does it take a computer signal to travel 60 cm at a rate of 2.4*10^10 cm/s ?
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that distance = rate*time or D = rt

In this case, D=60 cm and cm/sec. Plug these values in to get

Now divide both sides by 2.4 to get

Now divide both sides by to isolate 't' to get

From here, it helps to remember that negative exponents effectively flip fractions. Eg. . This means that we can write as

So the value of 't' is seconds. Now just multiply this answer by (this is the given conversion factor) to convert the answer into nanoseconds to get nanoseconds

So it takes about 2.5 nanoseconds.
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