Nan’s total parking

[sanju09]

Yesterday Nan parked her car at a certain parking garage that charges more for the first hour than for each additional hour. If Nan's total parking charge at the garage yesterday was $3.75, for how many hours of parking was she charged?

(1) Parking charges at the garage are $0.75 for the first hour and $0.50 for each additional hour or fraction of an hour.

(2) If the charge for the first hour had been $1.00, Nan's total parking charge would have been $4.00.


[spoiler]Source: https://gmat.practicetests.teachstreet.com[/spoiler]

[Rich@VeritasPrep]

You can represent the prompt with an equation:

F + X*A = 3.75

where F is the charge for the first hour, X is the number of additional hours, and A is the charge per additional hour.

(1) tells you that F=0.75 and A=0.50. Therefore:

.75 + .50X = 3.75

You can find X and can thus find the total number of hours charged

SUFFICIENT

(2) gives you this equation:

1.00 + XA = 4.00

You know that XA must be 3.00, but we don't know anything else about either variable.

INSUFFICIENT