NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 07:08 It is currently 29 Apr 2024, 07:08
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In 1 week, a local truck stop services a total of T truck drivers. The

Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Sajjad1994
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 13966
Own Kudos [?]: 33036 [3]
Given Kudos: 5781
GPA: 3.62
Send PM
CAT Tests Forum Quiz Mode
In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   10 Oct 2023, 08:00
1
Kudos
2
Bookmarks
Expert Reply
00:00

Difficulty:

15% (low)

Question Stats:

93% (02:35) correct 7% (03:33) wrong based on 75 sessions
Hide Show timer Statistics
Data Insights (DI) Quiz-II 2023 [Question #13, Date: Oct-10-2023] [Click here for Details]


In 1 week, a local truck stop services a total of T truck drivers. These drivers can choose from a variety of services. A total of S drivers opt to use the truck stop's shower facilities for $3.00 a shower, W drivers put their trucks through the truck wash for $12.00 per wash, and C drivers purchase the combine-and-save Wash-n-Shower combo for $14.00.

In the table, identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week. Then identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package. Make only two selections, one in each column.
Total earnings Percentage purchasing combo package Expression
\(\frac{S+W}{CT}\)
\(\frac{T}{14C}\)
\(\frac{C}{T}\)
\(T-14C\)
\(3S+12W+14C\)
\(\frac{SWC}{29}\)
Submit
Click Submit to add this question to your Error log
ShowHide Answer
Official Answer
Total earnings: \(3S+12W+14C\) Percentage purchasing combo package: \(\frac{C}{T}\)
User avatar
B
p456
Intern
Intern
Joined: 20 Aug 2023
Posts: 41
Own Kudos [?]: 33 [0]
Given Kudos: 31
Send PM
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   10 Oct 2023, 10:35
Total Earnings = 3S+12W+14C, Percentage purchasing combo package = C/T

Shower -> S truck drivers -> $3/wash
Wash -> W truck drivers -> $12/wash
Shower and Wash -> C truck drivers-> $14/wash

1. Total earnings

We know, S + W + C = T(total drivers)
so, total revenue must be 3S + 12W + 14C

2. Percentage purchasing combo package

We know, C are truck drivers who opted for combo package of shower and wash

So, percentage = C / (S + W + C) = C / T
User avatar
D
Elite097
Director
Director
Joined: 20 Apr 2022
Posts: 631
Own Kudos [?]: 254 [0]
Given Kudos: 316
Location: India
Schools: Sloan '25 CBS Berkeley Haas
GPA: 3.64
Send PM
CAT Tests
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   10 Oct 2023, 23:07
i) Total earnings for shower =3S
Total earnings forwash=12W
Total earnings for combination= 14C
Total earnings= 3S+12W+14C

ii) % purchasing combo is represented by C/T
User avatar
B
hallfootball
Intern
Intern
Joined: 15 Nov 2015
Posts: 30
Own Kudos [?]: 7 [0]
Given Kudos: 32
GMAT Focus 1:
615 Q79 V82 DI80
GMAT 1: 590 Q48 V23
GMAT 2: 670 Q48 V34
Send PM
CAT Tests
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   10 Oct 2023, 23:59
Column 1: Identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week.

Revenue earned by the truck stop is the sum of customers who opted to use shower, wash and Wash-n-Shower combo multiplied by their respective rates.

Revenue = (S * 3) + (12 * W) + (14 * C)

Column 2: Identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package.

Number of people who purchased Wash-n-Shower combo = C
Total number of customers = T

Therefore, % of customers purchasing Wash-n-Shower combo package = (C/T)*100

Hence, the answer is C/T
User avatar
L
pintukr
VP
VP
Joined: 03 Jul 2022
Posts: 1242
Own Kudos [?]: 800 [0]
Given Kudos: 21
GMAT 1: 680 Q49 V34
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   11 Oct 2023, 02:52
In 1 week, a local truck stop services a total of T truck drivers. These drivers can choose from a variety of services. A total of S drivers opt to use the truck stop's shower facilities for $3.00 a shower, W drivers put their trucks through the truck wash for $12.00 per wash, and C drivers purchase the combine-and-save Wash-n-Shower combo for $14.00.

In the table, identify the expression that reflects the revenue earned by the truck stop on shower and truck wash services during the week. Then identify the expression that reflects the percentage of customers purchasing the Wash-n-Shower combo package. Make only two selections, one in each column.


A. Total earnings

S drivers @ $3.00 per shower = 3S
W drivers @ $12.00 per wash = 12W
C drivers @ $14.00 per Wash-n-Shower combo = 14C

hence, Total earnings = 3S+12W+14C


B. Percentage purchasing combo package

Total Drivers = S + W + C = T
Drivers purchasing combo package = C

hence, Percentage purchasing combo package = C / T
(ideally 100 * C/T %)

Total
User avatar
L
Sajjad1994
GRE Forum Moderator
Joined: 02 Nov 2016
Posts: 13966
Own Kudos [?]: 33036 [0]
Given Kudos: 5781
GPA: 3.62
Send PM
CAT Tests Forum Quiz Mode
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink] New post   11 Oct 2023, 08:45
Expert Reply
Official Explanation

The correct answers are \(3S+12W+14C\) for the revenue earned by the truck stop during the week and \(\frac{C}{T}\) for the percentage of drivers purchasing a combo package.

The total earnings is the sum of revenues earned from all showers, truck washes, and combo packages. To determine the revenue for each service, multiply the cost of the
service by the number of drivers purchasing it. Add together showers (3S) plus truck washes (12W) plus combo packages (14C). The expression is 3S+12W+14C.

The question states that T represents the total drivers served, and C represents those purchasing the combo package. To determine the percentage purchasing combos,
divide the number purchasing combos by the total drivers served: C/T.
GMAT Club Bot
gmatclubot
Re: In 1 week, a local truck stop services a total of T truck drivers. The [#permalink]
11 Oct 2023, 08:45
Moderators:
Bunuel
Math Expert
92995 posts
BottomJee
DI Forum Moderator
1030 posts
chetan2u
RC & DI Moderator
11185 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions