Last visit was: 24 Apr 2026, 14:12 It is currently 24 Apr 2026, 14:12
Home
Messages
Tests
Schools
Events
Close
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

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,066
 [33]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,066
 [33]
Fanny and Alexander are y miles apart and are traveling in a straight 06 Dec 2018, 08:25
1
Kudos
Add Kudos
32
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

66% (01:30) correct 34% (01:50) wrong based on 712 sessions

History

Date
Time
Result
Not Attempted Yet
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles


M36-94

Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,066
 [7]
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,066
 [7]
Fanny and Alexander are y miles apart and are traveling in a straight 12 Nov 2021, 08:19
6
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles


M36-94
Show more

Official Solution:


Fanny and Alexander are \(y\) miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and \(x\) mph respectively. What is the value of \(x\)?

(1) 1.5 hours before they meet they were 135 miles apart

The combined rate of Fanny and Alexander is \(25+x\) mph and if 1.5 hours before they meet they were 135 miles apart, then in 1.5 hours together they should cover 135 miles: \((25+x)*1.5=135\) (rate*time = distance). We can find \(x\). Sufficient.

(2) \(y = 360\) miles. Clearly insufficient.


Answer: A
General Discussion
User avatar
Ypsychotic
User avatar
Joined: 24 Nov 2018
Last visit: 25 May 2020
Posts: 83
Own Kudos:
80
 [3]
Given Kudos: 52
Location: India
GPA: 3.27
WE:General Management (Retail Banking)
Posts: 83
Kudos: 80
 [3]
Fanny and Alexander are y miles apart and are traveling in a straight 06 Dec 2018, 15:30
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles
Show more


Statement 1: before they meet they are 135 miles apart, and they meet after 1.5 hours, so the distance between them/relative speed = time taken to meet. So, 135/(25+x)=1.5, x=65. Sufficient.

Statement 2, y = 360 miles, no information about x or time taken to meet each other. Insufficient.

IMO, A.
avatar
23gmat
avatar
Joined: 09 Feb 2012
Last visit: 22 Jul 2019
Posts: 1
Own Kudos:
6
 [1]
Given Kudos: 4
WE:Information Technology (Consulting)
Posts: 1
Kudos: 6
 [1]
Fanny and Alexander are y miles apart and are traveling in a straight 06 Dec 2018, 17:30
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Statement 1: Relative speed = (25+x) mph. Distance covered = 135 in 1.5 hrs. Hence, 135/(25+x)=1.5, x=65. Sufficient.

Statement 2: Relative speed = (25+x) mph. y = 360 miles but no information on time taken to meet each other. Insufficient.

Option: A
User avatar
KrishnakumarKA1
User avatar
Joined: 05 Jan 2017
Last visit: 13 Oct 2020
Posts: 398
Own Kudos:
314
 [2]
Given Kudos: 15
Location: India
Posts: 398
Kudos: 314
 [2]
Fanny and Alexander are y miles apart and are traveling in a straight 06 Dec 2018, 23:23
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi,

Given,

Speed of fanny = 25mph

Speed of alexander = “x” mph

Distance between them = “y” miles

Since both of them travelling towards each other (opposite directions), relative speed is sum of their speeds.

i.e., Every hour both will cover = (25+x) mph

Question: Speed of alexander = “x” mph ?

Statement I is sufficient:

1.5 hours before they meet they were 135 miles apart.

This tells the remaining time taken and the distance to cover.

i.e., both will travel 135 miles in 1.5 hours.

So, time = distance/ Speed

1.5 = 135/(25+x)

We can stop here, clearly there will be one value of “x”.

37.5 + 1.5x = 135.

x = 97.5/1.5

x = 65.

So sufficient.

Statement II is insufficient:

y = 360 miles.

Knowing only the distance doesn’t help here. We need to know the time.

So insufficient.

So the answer is A.

Hope this helps.

Regards,
Junaid.
Byjus GMAT Quant Expert
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,066
Given Kudos: 105,873
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,066
Fanny and Alexander are y miles apart and are traveling in a straight 24 Dec 2018, 01:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles
Show more

Par of GMAT CLUB'S New Year's Quantitative Challenge Set

User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 24 Apr 2026
Posts: 5,986
Own Kudos:
5,859
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,986
Kudos: 5,859
Fanny and Alexander are y miles apart and are traveling in a straight 08 Oct 2019, 04:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively. What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
(2) y = 360 miles
Show more

Given: Fanny and Alexander are y miles apart and are traveling in a straight line toward each other at a constant rate of 25 mph and x mph respectively.

Asked: What is the value of x?

(1) 1.5 hours before they meet they were 135 miles apart
Relative speed = 135/1.5 = 90 mph = 25 + x
x = 65 mph
SUFFICIENT

(2) y = 360 miles
NOT SUFFICIENT

IMO A
User avatar
gmatchile1
User avatar
Joined: 09 Feb 2021
Last visit: 23 Apr 2026
Posts: 22
Own Kudos:
5
Posts: 22
Kudos: 5
Fanny and Alexander are y miles apart and are traveling in a straight 14 Apr 2024, 10:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer: alternative A


Explanation:


Since it is an example of a meeting, in opposite directions (one advances towards the other), the hour and a half remaining until the meeting between Fanny and Alexander must be traveled by both with their respective speeds and then you must add them.

ie) 65 x 3/2 + 25 x 3/2 = (65 + 25) x 3/2 = 90 x 3/2 = 135 miles.
 
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,974
Own Kudos:
1,117
Posts: 38,974
Kudos: 1,117
Fanny and Alexander are y miles apart and are traveling in a straight 25 May 2025, 01:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts