Answer: 602 miles
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Work Shown:
x = number of extra miles (past the 150 mark)
0.25x = cost for those extra miles
0.25x+180 = total cost
0.25x+180 = 293
0.25x = 293-180
0.25x = 113
x = 113/(0.25)
x = 452
So you drove the original 150 miles, plus an additional 452 miles.
The total is 150+452 = 602 miles