Answer:
(a) There are 3.17 times more shakes in a second than seconds in a year.
(b) Humans have existed for 9067.72 universe seconds.
Explanation:
(a) First we calcule how many seconds are in a year. One year have 365 days, one day has 24 hours, one hour has 60 minutes and one minute has 60 seconds, so:
[tex]60s*60*24*365=3.1536*10^7s[/tex]
Now, we calculate how many shakes are in a second:
[tex]1s*\frac{1shake}{10^{-8}s}=10^8shakes[/tex]
Finally, we calculate how many more shakes in a second are there than seconds in a year:
[tex]\frac{10^8s}{3.1536*10^7s}=3.17[/tex]
(b) Using a simple rule of three we can calculate how many "universe seconds" have humans existed, recall that 1 day has 86400 seconds:
1010 years--------->86400s
106 years----------> x seconds
[tex]x=\frac{106y*86400s}{1010y}=9067.72s[/tex]
