The motorcyclist would have driven for 40.6 hours after 248 miles
We can solve this question by applying the formula for arithmetic progression. We have been told that the first hour is 10 miles distance, and the arithmetic difference is 6 miles distance. We are also told that he drove a total of 248 miles distance. This means that
An = a + (n-1)d, where
An = 248
a = 10
n = ?
d = 6
applying the formula, we have
248 = 10 + (n - 1)6
248 = 10 + 6n - 6
248 = 6n + 4
6n = 248 - 4
6n = 244
n = 244/6
n = 40.6 hours
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