Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 17 Jul 2019, 14:17

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.

Close

Request Expert Reply

Confirm Cancel

Fanny and Alexander are y miles apart and are traveling in a straight

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56277
Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

Show Tags

New post 06 Dec 2018, 08:25
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

55% (01:33) correct 45% (01:50) wrong based on 183 sessions

HideShow timer Statistics


Manager
Manager
avatar
S
Joined: 24 Nov 2018
Posts: 109
Location: India
GPA: 3.27
WE: General Management (Retail Banking)
Premium Member
Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

Show Tags

New post 06 Dec 2018, 15:30
1
Bunuel wrote:
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



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.
_________________
Kudos encourage discussions. Share it to amplify collective education!
Intern
Intern
avatar
B
Joined: 09 Feb 2012
Posts: 1
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

Show Tags

New post 06 Dec 2018, 17:30
1
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
Director
Director
User avatar
S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 542
Location: India
Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

Show Tags

New post 06 Dec 2018, 23:23
1
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
_________________
GMAT Mentors
Image
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56277
Re: Fanny and Alexander are y miles apart and are traveling in a straight  [#permalink]

Show Tags

New post 24 Dec 2018, 01:18
GMAT Club Bot
Re: Fanny and Alexander are y miles apart and are traveling in a straight   [#permalink] 24 Dec 2018, 01:18
Display posts from previous: Sort by

Fanny and Alexander are y miles apart and are traveling in a straight

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne