In a large city, taxicabs charge $4.00 for the first one-fifth mile and 0.38 for each additional one- fifth mile. Frank has only $8.50. What is the maximum distance he can travel?

Answer 1

go 1/5 mile and have 4.50 left to spend

1/5 = .2
(1/5) mile = 38 cents
1 mile = 190 cents so $1.90/mile after first .2 miles
4.50 = 1.90 * x
x = 2.67 miles after .20 miles
so
2.87 miles