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 1811:00 AM PST
-12:00 PM PST
Join us in a live GMAT practice session and solve 30 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
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 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.
19 Jul 2021, 21:00
Kudos
Bookmarks
Roger: 50 miles/hour
Kelly: 75 miles/hour
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
72% (02:50) correct
28%
(03:03)
wrong
based on 752
sessions
History
Date
Time
Result
Not Attempted Yet
Roger and Kelly are going on a road trip. If Roger drives at his normal rate of speed for the first 4 hours, then Kelly can drive the remaining distance in 4 more hours. If, however, Roger drives 75% faster than normal for 4 hours, Kelly can drive the remaining distance at her regular rate of speed in 2 hours.
In the table below, choose a normal rate of speed for Roger and a normal rate of speed for Kelly that are consistent with the information above.
In the table below, choose a normal rate of speed for Roger and a normal rate of speed for Kelly that are consistent with the information above.
| Roger | Kelly | |
| 50 miles/hour | ||
| 55 miles/hour | ||
| 60 miles/hour | ||
| 65 miles/hour | ||
| 70 miles/hour | ||
| 75 miles/hour |
ShowHide Answer
Official Answer
Roger: 50 miles/hour
Kelly: 75 miles/hour
24 Mar 2022, 03:24
Kudos
Bookmarks
Normal Condition
X = Speed of Roger
Y = Speed of Kelly
Speed = Distance/Time
Therefore, Distance = Speed * Time
X*4+Y*4 = Distance = 4(X+Y)
New Condition
Speed of Roger = \(\frac{175}{100}\) X = \(\frac{7}{4}\) X
Speed of Kelly = Y
\(\frac{7}{4}\) X * 4 + Y*2 = 4(X+Y)
7X + 2Y = 4X + 4Y
7X-4X + 2Y-4Y = 0
3X - 2Y = 0
From the given option, X=50 & Y=75 are the only options that can satisfy 3X - 2Y = 0
Answer
Roger = 50 miles/hour
Kelly = 75 miles/hour
X = Speed of Roger
Y = Speed of Kelly
Speed = Distance/Time
Therefore, Distance = Speed * Time
X*4+Y*4 = Distance = 4(X+Y)
New Condition
Speed of Roger = \(\frac{175}{100}\) X = \(\frac{7}{4}\) X
Speed of Kelly = Y
\(\frac{7}{4}\) X * 4 + Y*2 = 4(X+Y)
7X + 2Y = 4X + 4Y
7X-4X + 2Y-4Y = 0
3X - 2Y = 0
From the given option, X=50 & Y=75 are the only options that can satisfy 3X - 2Y = 0
Answer
Roger = 50 miles/hour
Kelly = 75 miles/hour
General Discussion
19 Sep 2024, 11:27
Kudos
Bookmarks
Lets assume x and y are speeds of roger and Kelly respectively.
75% faster means, Roger covers 0.75X more distance per hour.
In four hours roger covers 0.75X *4 = 3X, which helps Kelly to drive 2 hours less, = 2*Y
so 3X=2Y..
X=50 and Y = 75. fits from options.
75% faster means, Roger covers 0.75X more distance per hour.
In four hours roger covers 0.75X *4 = 3X, which helps Kelly to drive 2 hours less, = 2*Y
so 3X=2Y..
X=50 and Y = 75. fits from options.
