GRE Prep 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.
The total amount to rent a taxi for one day from Taxi X consists of a
[#permalink]
31 Oct 2023, 00:44
31 Oct 2023, 00:44
Expert Reply
1
Bookmarks
00:00
Question Stats:
40% (02:15) correct
60% (02:17) wrong based on 5 sessions
Hide Show timer Statistics
The total amount to rent a taxi for one day from Taxi X consists of a fixed amount of $10 and a amount of $0.25 per mile driven. The total amount to rent a taxi for one day from Taxi Y consists of a fixed amount of $20 and a amount of $0.10 per mile driven. The total amount torent a taxi from Taxi Y for one day and drive it for m miles is less than $25.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Total amount to rent a taxi from Taxi X for one day and drive it for m miles |
$ 22.5 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Manager
Joined: 11 Nov 2023
Posts: 228
Given Kudos: 78
WE:Business Development (Advertising and PR)
Re: The total amount to rent a taxi for one day from Taxi X consists of a
[#permalink]
02 Dec 2023, 08:34
02 Dec 2023, 08:34
1
1
Bookmarks
We can interpret the costs for each taxi into these equations:
Let x = cost of renting Taxi X per day driving m miles, y = cost of renting Taxi X per day driving m miles.
\(x = 10 + 0.25m\)
\(y = 20 + 0.10m\)
Given that \(y(m) < 25\), we can set up this inequality:
\(20 + 0.10m < 25
m < 50\)
Plug m = 50 back into Taxi X's equation:
\(x(50) = 10 + 0.25(50) = 22.5\)
However since we know that m is LESS than 50, the total amount will be LESS than 22.5.
You could double check by using any value of m less than 50, e.g., 40:
\(x(40) = 10 + 0.25(40) = 20 < 22.5\)
Let x = cost of renting Taxi X per day driving m miles, y = cost of renting Taxi X per day driving m miles.
\(x = 10 + 0.25m\)
\(y = 20 + 0.10m\)
Given that \(y(m) < 25\), we can set up this inequality:
\(20 + 0.10m < 25
m < 50\)
Plug m = 50 back into Taxi X's equation:
\(x(50) = 10 + 0.25(50) = 22.5\)
However since we know that m is LESS than 50, the total amount will be LESS than 22.5.
You could double check by using any value of m less than 50, e.g., 40:
\(x(40) = 10 + 0.25(40) = 20 < 22.5\)
gmatclubot
Re: The total amount to rent a taxi for one day from Taxi X consists of a [#permalink]
02 Dec 2023, 08:34
Moderators:
