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The rider could go 19 1/3 miles (19.333 miles)

The total distance is x and the rider can go (x-1) miles at .90 per mile after subtracting the tip and the first mile.

0.90 (x-1) + 1.50 + 2.00 = 20.00

0.90x - 0.90 = 16.50

0.90 x = 17.40

x = 19 1/3 (19.3333)

Checking:

1.50 + (19 1/3 -1) (0.90) + 2.00 = 20.00

1.50 + (18 1/3)(0.90) +2.00 = 20.00

1.50 + 16.50 + 2.00 = 20.00

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