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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
26 Oct 2015, 09:48
3
13
00:00
A
B
C
D
E
Difficulty:
25% (medium)
Question Stats:
72% (01:03) correct 28% (01:09) wrong based on 1178 sessions
HideShow timer Statistics
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
Updated on: 07 Sep 2018, 08:42
5
Top Contributor
5
Bunuel wrote:
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
(1) 2x + 3y = 280 (2) y = x + 10
Kudos for a correct solution.
Target question:What was Marta's average speed for the entire trip?
Given: Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours Average speed = (total distance)/(total time) - Travelling at x miles per hour for 2 hours, Marta travels 2x miles - Travelling at y miles per hour for 3 hours, Marta travels 3y miles So, her average speed = (2x + 3y)/(2 hours + 3 hours) = (2x + 3y)/5 So, we can REPHRASE our target question.... REPHRASED target question:What is the value of (2x + 3y)/5?
Statement 1: 2x + 3y = 280 This looks VERY SIMILAR to our REPHRASED target question. If we divide both sides by 5, we get: (2x + 3y)/5 = 56 Perfect!! Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: y = x + 10 This information cannot help us determine the value of (2x + 3y)/5. Here's why: There are several values of x and y that satisfy statement 2. Here are two: Case a: x = 5 and y = 15. In this case (2x + 3y)/5 = [2(5) + 3(15)]/5 = 11 Case b: x = 10 and y = 20. In this case (2x + 3y)/5 = [2(10) + 3(20)]/5 = 16 Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT
Re: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
26 Oct 2015, 23:30
3
An easy question. The average speed can be taken out by adding Marta's speed per hour for each hour divided by the total no of hours she traveled. So, we are given that she travels with x miles per hour for 2 hours and y miles per hour for 3 hours, hence average speed would be = (2x+3y)/5.
Statement 1. 2x+3y=280, which can be written as (2x+3y)/5=56. {Sufficient} Statement 2. y = x+10, 2 variables 1 eqn {Insufficient}
Re: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
07 Nov 2016, 09:08
How are you guys coming up with 2x and 3y. I see everyone skipping the step. please show the algebra to come up with 2x + 3y and please show the unit Hours (H)
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
18 Aug 2018, 03:08
Bunuel wrote:
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
(1) 2x + 3y = 280 (2) y = x + 10
Kudos for a correct solution.
Bunuel, @pushpiktc chetan2u Why answer is A and not C We have two unknowns in statement one , havent we ? and when we have two unknowns and one equation how can one get answer _________________
In English I speak with a dictionary, and with people I am shy.
Re: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours
[#permalink]
Show Tags
18 Aug 2018, 03:24
1
dave13 wrote:
Bunuel wrote:
On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?
(1) 2x + 3y = 280 (2) y = x + 10
Kudos for a correct solution.
Bunuel, @pushpiktc chetan2u Why answer is A and not C We have two unknowns in statement one , havent we ? and when we have two unknowns and one equation how can one get answer
The question asks: what is the value of (2x + 3y)/5?
Statement 1 says: 2x + 3y = 280. Could you answer the question what is the value of (2x + 3y)/5 knowing that 2x + 3y = 280?
_________________
close
72% (01:03) correct 
We have two unknowns in statement one , havent we ? 
