A parking lot charges a flat rate of X dollars for any

Hi All,

We're told that a parking lot charges a flat rate of X dollars for any amount of time UP to 2 hours, and X/6 hours each hour OR fraction of an hour AFTER the first two hours. We're asked for the cost to park for 5 hours and 15 minutes. This question can be solved by TESTing VALUES.

IF.... X=6
Then it costs $6 for the first 2 hours and...
$6/6 = $1 for each additional hour or fraction of an hour.

With a total time of 5 hours and 15 minutes, the cost would be $6 (for the first 2 hours) + $3 (for the next 3 hours) + $1 (for the fraction of the last hour) = $10. So we're looking for an answer that equals 10 when X=6. There's only one answer that matches...

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

BTGmoderatorLU wrote:A parking lot charges a flat rate of X dollars for any amount of time up to two hours, and X/6 hours each hour or fraction of an hour after the first two hours. How much does it cost to park for 5 hours and 15 minutes?

A. 3X
B. 2X
C. 5X/3
D. 3X/2
E. 7X/6

For the first 2 hours, we pay X dollars. For the next 3 hours, we pay X/6 dollars per hour, so we have to pay 3(X/6) = X/2 dollars. For the last 15 minutes, which is a fraction of an hour, we still have to pay X/6 dollars. Thus the total we have to pay is:

X + X/2 + X/6 = 6X/6 + 3X/6 + X/6 = 10X/6 = 5X/3 dollars

Answer: C