The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the

[Vincen]

The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?

A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00

[spoiler]OA=C[/spoiler]

Source: GMAT Club Tests

[Scott@TargetTestPrep]

The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?

A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00

[spoiler]OA=C[/spoiler]

Source: GMAT Club Tests

We can let T = the total number of miles driven and create the following equation:

1.24 = 0.34 + 0.06 * (T - 1/4)/(1/5)

0.9 = 0.06 * (T - 1/4) * 5

0.9 = 0.3(T - 1/4)

3 = T - 1/4

T = 3 + 1/4 = 3.25

Answer: C