|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
26 Dec 2025, 09:00
Kudos
Bookmarks
Plan A entry fee: 8
Plan B total charge: 12
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
74% (02:12) correct
26%
(03:06)
wrong
based on 132
sessions
History
Date
Time
Result
Not Attempted Yet
12 Days of Christmas Competition
This question is part of our holiday event
Win $40,000 in prizes: courses, tests, and more
A driver is choosing between two pricing plans for evening parking in a downtown garage.
• Plan A charges a one time entry fee that covers the first 2 hours, plus $x for each additional hour or fraction of an hour beyond the first 2 hours.
• Plan B charges no entry fee, but charges $3x/2 for the first hour and $3x/2 for each additional hour or fraction of an hour beyond the first hour.
Select for Plan A entry fee and for Plan B total charge the two figures, in US dollars ($), that could be Plan A's entry fee and Plan B’s total charge for 3 hours and 20 minutes such that both plans would charge the same total amount. Make only two selections, one in each column.
I31-42
| Plan A entry fee | Plan B total charge | |
| 4 | ||
| 5 | ||
| 8 | ||
| 12 | ||
| 15 | ||
| 20 |
ShowHide Answer
Official Answer
Plan A entry fee: 8
Plan B total charge: 12
26 Dec 2025, 10:00
Kudos
Bookmarks
A driver is choosing between two pricing plans for evening parking in a downtown garage.
• Plan A charges a one time entry fee that covers the first 2 hours, plus $x for each additional hour or fraction of an hour beyond the first 2 hours.
• Plan B charges no entry fee, but charges $3x/2 for the first hour and $3x/2 for each additional hour or fraction of an hour beyond the first hour.
Select for Plan A entry fee and for Plan B total charge the two figures, in US dollars ($), that could be Plan A's entry fee and Plan B’s total charge for 3 hours and 20 minutes such that both plans would charge the same total amount. Make only two selections, one in each column.
Plan A:
The entry fee covers the first 2 hours. Time beyond 2 hours is 1 hour 20 minutes, which is billed as 2 additional hours.
So Plan A total = F + 2x, where F is the entry fee.
Plan B:
For 3 hours 20 minutes, billing “per hour or fraction of an hour” means 4 billed hours total.
So Plan B total = 4 * (3x/2) = 6x.
Set totals equal:
F + 2x = 6x
F = 4x
Then Plan B total = 6x = 1.5F.
From the options, the only pair where the second is 1.5 times the first is:
F = 8 and Plan B total = 6x = 1.5F = 12.
GMAT-Club-Forum-cl22p1au.png [ 13.38 KiB | Viewed 1088 times ]
• Plan A charges a one time entry fee that covers the first 2 hours, plus $x for each additional hour or fraction of an hour beyond the first 2 hours.
• Plan B charges no entry fee, but charges $3x/2 for the first hour and $3x/2 for each additional hour or fraction of an hour beyond the first hour.
Select for Plan A entry fee and for Plan B total charge the two figures, in US dollars ($), that could be Plan A's entry fee and Plan B’s total charge for 3 hours and 20 minutes such that both plans would charge the same total amount. Make only two selections, one in each column.
GMAT Club Official Explanation:
Plan A:
The entry fee covers the first 2 hours. Time beyond 2 hours is 1 hour 20 minutes, which is billed as 2 additional hours.
So Plan A total = F + 2x, where F is the entry fee.
Plan B:
For 3 hours 20 minutes, billing “per hour or fraction of an hour” means 4 billed hours total.
So Plan B total = 4 * (3x/2) = 6x.
Set totals equal:
F + 2x = 6x
F = 4x
Then Plan B total = 6x = 1.5F.
From the options, the only pair where the second is 1.5 times the first is:
F = 8 and Plan B total = 6x = 1.5F = 12.
Attachment:
GMAT-Club-Forum-cl22p1au.png [ 13.38 KiB | Viewed 1088 times ]
General Discussion
26 Dec 2025, 09:39
Kudos
Bookmarks
Bunuel
let A entry fee be - m
at 3h 20 mins we will chrage for 4 units
A = m = 2x
B = 3/2 * x* 4 = 6x
m + 2x = 6x
m= 4x
total cost = 6x
so m:T = 4:6
only possible answer is 8, 12
