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.
On an excursion trip of 5 hours, Mary averaged p miles per hour for 2
[#permalink]
17 Oct 2023, 23:53
17 Oct 2023, 23:53
Expert Reply
1
Bookmarks
00:00
Question Stats:
90% (01:48) correct
10% (02:26) wrong based on 10 sessions
Hide Show timer Statistics
On an excursion trip of 5 hours, Mary averaged p miles per hour for 2 hours and q miles per hour for the rest of the journey. It is known that \(p +\frac{3}{2}q = 140.\)
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 |
Mary’s average speed for the entire trip |
56 |
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: 207
Given Kudos: 76
WE:Business Development (Advertising and PR)
Re: On an excursion trip of 5 hours, Mary averaged p miles per hour for 2
[#permalink]
04 Dec 2023, 22:38
04 Dec 2023, 22:38
1
Distance = Time x Rate, or Rate = Distance / Time. We're given Time, and the Distance in terms of p and q.
Since we know total time was 5 hours, Mary traveled for 3 hours at the rate of q. So, we can interpret the first part as:
\(2p+3q =D\), where D is total distance traveled.
We're also given \(p+\frac{3}{2}q=140\)
Multiply both sides by 2:
\(2(p+\frac{3}{2}q)=2*140\)
\(2p+3q=280=D\)
However, we want to find the Rate:
\(= D/5 = 280/5 = 56\)
Since we know total time was 5 hours, Mary traveled for 3 hours at the rate of q. So, we can interpret the first part as:
\(2p+3q =D\), where D is total distance traveled.
We're also given \(p+\frac{3}{2}q=140\)
Multiply both sides by 2:
\(2(p+\frac{3}{2}q)=2*140\)
\(2p+3q=280=D\)
However, we want to find the Rate:
\(= D/5 = 280/5 = 56\)
gmatclubot
Re: On an excursion trip of 5 hours, Mary averaged p miles per hour for 2 [#permalink]
04 Dec 2023, 22:38
Moderators:
