Events & Promotions
|
|
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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2001:30 PM EST
-02:30 PM IST
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Nov 2206:30 AM PST
-08:30 AM PST
Let’s dive deep into advanced CR to ace GMAT Focus! Join this webinar to unlock the secrets to conquering Boldface and Paradox questions with expert insights and strategies. Elevate your skills and boost your GMAT Verbal Score now!
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2407:00 PM PST
-08:00 PM PST
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (02:10) correct
16%
(02:27)
wrong
based on 1068
sessions
History
Date
Time
Result
Not Attempted Yet
P, Q and R are located in a flat region of a certain state. Q is x miles due east of P and y miles due north of R. Each pair of points is connected by a straight road. What is the number of hours needed to drive from Q to R and then from R to P at a constant rate of z miles per hour, in terms of x, y and z? (Assume x, y, and z are positive)
A. \(\frac{\sqrt{x^2+y^2}}{z}\)
B. \(\frac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\frac{y+ \sqrt{x^2+y^2}}{z}\)
D. \(\frac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\frac{z}{y+\sqrt{x^2+y^2}}\)
A. \(\frac{\sqrt{x^2+y^2}}{z}\)
B. \(\frac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\frac{y+ \sqrt{x^2+y^2}}{z}\)
D. \(\frac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\frac{z}{y+\sqrt{x^2+y^2}}\)
21 Jun 2014, 11:35
Kudos
Bookmarks
P, Q and R are located in a flat region of a certain state. Q is x miles due east of P and y miles due north of R. Each pair of points is connected by a straight road. What is the number of hours needed to drive from Q to R and then from R to P at a constant rate of z miles per hour, in terms of x, y and z? (Assume x, y, and z are positive)
A. \(\frac{\sqrt{x^2+y^2}}{z}\)
B. \(\frac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\frac{y+ \sqrt{x^2+y^2}}{z}\)
D. \(\frac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\frac{z}{y+\sqrt{x^2+y^2}}\)
Points are located as shown below:
P----Q
------
------
-----R
So we have the right triangle: \(PQ=x\) and \(QR=y\). \(PR=hypotenuse=\sqrt{x^2+y^2}\).
Total distance to cover: \(y+\sqrt{x^2+y^2}\) --> \(time=\frac{distance}{rate}=\frac{y+\sqrt{x^2+y^2}}{z}\).
Answer: C.
A. \(\frac{\sqrt{x^2+y^2}}{z}\)
B. \(\frac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\frac{y+ \sqrt{x^2+y^2}}{z}\)
D. \(\frac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\frac{z}{y+\sqrt{x^2+y^2}}\)
Points are located as shown below:
P----Q
------
------
-----R
So we have the right triangle: \(PQ=x\) and \(QR=y\). \(PR=hypotenuse=\sqrt{x^2+y^2}\).
Total distance to cover: \(y+\sqrt{x^2+y^2}\) --> \(time=\frac{distance}{rate}=\frac{y+\sqrt{x^2+y^2}}{z}\).
Answer: C.
General Discussion
11 Sep 2017, 16:00
Kudos
Bookmarks
Poots
We see that P, Q, and R form the vertices of a right triangle, with Q as the vertex of the right angle. Furthermore, PQ = x and QR = y are the legs of the right triangle, and RP is the hypotenuse of the right triangle.
Thus, if we let RP = n, then by the Pythagorean theorem we have:
n^2 = x^2 + y^2
n = √( x^2 + y^2)
Since time = distance/rate, it takes y/z hours to drive from Q to R and √( x^2 + y^2)/z hours to drive from R to P.
So, the total driving time is [y + √( x^2 + y^2)]/z.
Answer: C
