If you drive at the posted speed limit of 70 mph on the interstate,what is the fraction of your speed compared to the speed of light? A)6.48 $\times$ 10 ^-8 B)1.04 $\times$ 10 ^-7 C)2.33 $\times$ 10 ^-7 D)3.73 $\times$ 10 ^-7 E)None of these is correct.

Question

Quizplus · Accepted Answer

According to the theory of relativity, the speed of light is about 670,616,629 mph. To find the fraction of your speed compared to the speed of light, we can divide the speed you are driving (70 mph) by the speed of light (670,616,629 mph) and multiply by 100 to get a percentage, which we can then convert to a fraction by dividing by 100. 
(70/670,616,629) x 100 = 0.000010439
0.000010439/100 = 1.04 x 10^-7
This can be written as 1.04 x 10^-7 or as a fraction, approximately 1/9,577,846. 
Therefore, the correct choice is B.

If You Drive at the Posted Speed Limit of 70 ×\times×

If You Drive at the Posted Speed Limit of 70 $\times$