Answer
193429.73 years
Explanation:
Estimated volume of the grand canyon is 4.17 trillion [tex]m^{3}[/tex]
Capacity of truck is 20.5 [tex]m^{3}[/tex]
It takes 30 seconds to deliver 1 load
number of loads that can fill up the Grand Canyon is [tex]\frac{4.17 X 10^{12} }{20.5} = 2.03 X 10^{11}[/tex]
Time taken to deliver the needed number of loads is
[tex]30 seconds X 2.03 X 10^{11} = 6.1 X 10^{12} seconds[/tex]
Next, we convert the result from seconds to years:
Number of seconds in a year is
365 days x 24 hours x 60 minutes x 60seconds = 31536000
Time taken in years = [tex]\frac{6.1 X 10^{12} }{31536000} = 193429.73 years[/tex]
