Amy drove x miles, and Carl drove 1/7 less than Amy's distance
Let the distance Amy drove be represented by x.
Then, the distance Carl drove is (x - 1/7x)
Given that Amy drove x miles, we have:
x + (x - 1/7x) = x
Combining like terms:
x + 6/7x = x
13/7x = x
Dividing both sides by 13/7:
x = 7/13x
Therefore, Amy drove 7/13 of the total distance.