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.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Tom and Linda stand at point A. Linda begins to walk in a straight
[#permalink]
21 May 2021, 08:13
21 May 2021, 08:13
Expert Reply
6
Bookmarks
00:00
Question Stats:
74% (02:40) correct
24% (03:30) wrong based on 28 sessions
Hide Show timer Statistics
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
A. 60
B. 72
C. 84
D. 90
E. 108
A. 60
B. 72
C. 84
D. 90
E. 108
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Tom and Linda stand at point A. Linda begins to walk in a straight
[#permalink]
23 May 2021, 11:04
23 May 2021, 11:04
1
GeminiHeat wrote:
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
A. 60
B. 72
C. 84
D. 90
E. 108
A. 60
B. 72
C. 84
D. 90
E. 108
Let the distance covered by Tom be \(Y\) and by Linda be \(X\)
NOTE: In 1 hour Linda has already travelled 2 miles
Case I: Tom covers half of the distance that of Linda
|---- Y ----|--- 2 ---|-- X --|
\(Y = \frac{(2 + X)}{2}\)
Thus,
\(\frac{(2 + X)}{(2)(6)} = \frac{x}{2}\)
\(2x + 4 = 12x\)
\(x = \frac{4}{10} = \frac{2}{5}\)
Distance travelled by Tom = \(\frac{(x + 2)}{2} = \frac{12}{10}\)
Time \(= \frac{12}{(10)(6)} = \frac{2}{10}\) hrs \(= 12\) minutes
Case II: Tom covers twice the distance that of Linda
|---- Y ----|--- 2 ---|-- X --|
\(Y = 2(2 + X)\)
Thus,
\(\frac{2(2 + X)}{6} = \frac{x}{2}\)
\(2x + 4 = 3x\)
\(x = 4\)
Distance travelled by Tom = \(2(x + 2) = 2(4 + 2) = 12\)
Time \(= \frac{12}{6} = 2\) hrs \(= 120\) minutes
Therefore, difference of time = \(120 - 12 = 108\) minutes
Hence, option E
Re: Tom and Linda stand at point A. Linda begins to walk in a straight
[#permalink]
23 Jul 2024, 02:46
23 Jul 2024, 02:46
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
