The time to carve the Grand Canyon based on the elevation will be 2702 years.
From the information, it was stated that the principle of uniformitarianism applies erosion of the Grand Canyon and we are to use an average downcutting erosion rate of 0.5 mm/yr to calculate a rough estimate for how long it might have taken to carve the Grand Canyon.
This will be:
Change on elevation will simply be the difference between the change in the rim to the river.
= 2085 - 734
= 1351m
Therefore, the change in the elevation is 1351m..
Erosion rate = 0.5mm per year
The time to carve the Grand Canyon will be the change in the elevation divided by the number of years. This will be:
Change in elevation / Number of years
= 1351/0.5
= 2702years
Therefore, the time to carve the Grand Canyon based on the elevation will be 2702 years.
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