NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 22:24 It is currently 26 Apr 2024, 22:24
Decision Tracker
My Rewards
New posts
New comers' posts

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

Jan’s house and Cindy’s house are joined by a straight road 24 miles l

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619277 [9]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Jan’s house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   27 Mar 2015, 06:00
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

70% (03:01) correct 30% (03:04) wrong based on 254 sessions
Hide Show timer Statistics
Jan’s house and Cindy’s house are joined by a straight road 24 miles long. Jan and Cindy agree to meet at a restaurant along that road, twice as far from Jan’s house as from Cindy’s. Beginning at noon, Cindy walks to the restaurant at a constant speed of 3 miles per hour. Later, Jan drives to the restaurant at a constant speed of 30 miles per hour. If they arrive at the restaurant simultaneously, at what time did Jan begin her drive?

A) 12:32
B) 1:25
C) 1:52
D) 2:08
E) 2:40
ShowHide Answer
Official Answer
D
avatar
shreyast
Intern
Intern
Joined: 17 Feb 2015
Posts: 23
Own Kudos [?]: 101 [2]
Given Kudos: 13
GPA: 3
Send PM
Reviews Badge
Re: Jan’s house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   27 Mar 2015, 06:21
2
Kudos
Since restaurant is twice as far from Jan’s house as from Cindy’s. It should be 16 miles from Jan's house and 8 miles from Cindy's.

Cindy will take 8/3 hours = 2 hours and 40 minutes to reach the restaurant.
Jan will take 16/30 hours = 32 minutes to reach the restaurant.

Hence, they Jan needs to start at 2:08 so that both reach the restaurant at same time.
avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1562
Own Kudos [?]: 7208 [3]
Given Kudos: 193
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Send PM
house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   02 Apr 2015, 00:09
2
Kudos
1
Bookmarks
Answer = D = 2:08

Refer diagram below:

Attachment:
rest.png
rest.png [ 4.19 KiB | Viewed 5195 times ]


Time required by Cindy \(= 60*\frac{8}{3} = 160\) minutes

Cindy reached at 14:40 to the restaurant

Time required by Jan \(= 60*\frac{16}{30} = 32\) minutes

Jan started at 14:40-0:32 = 14:08
User avatar
Lucky2783
Senior Manager
Senior Manager
Joined: 07 Aug 2011
Posts: 425
Own Kudos [?]: 1752 [1]
Given Kudos: 75
Concentration: International Business, Technology
GMAT 1: 630 Q49 V27
Send PM
GMAT ToolKit User
Re: Jan’s house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   02 Apr 2015, 00:40
1
Kudos
Bunuel wrote:
Jan’s house and Cindy’s house are joined by a straight road 24 miles long. Jan and Cindy agree to meet at a restaurant along that road, twice as far from Jan’s house as from Cindy’s. Beginning at noon, Cindy walks to the restaurant at a constant speed of 3 miles per hour. Later, Jan drives to the restaurant at a constant speed of 30 miles per hour. If they arrive at the restaurant simultaneously, at what time did Jan begin her drive?

A) 12:32
B) 1:25
C) 1:52
D) 2:08
E) 2:40


Time taken by Cindy to reach restaurant = 8/3 = 2 hour 40 mins = 160mins.
we are told Jan's speed is 10times Cindy's Speed , it means that for same distance X Jan will take 1/10 time taken by Cindy .
Since Jan has to drive for 2X distance when Cindy has to walk only for X , he will take \(\frac{2}{10}\) Time require by Cindy to walk X miles.
so Jan will take \(\frac{2}{10} * \frac{8}{3}\) = \(\frac{8}{15}\) = 32 Mins.
Jan should wait for 160-32 = 128 mins .
he should start at 2hrs 8mins past noon . i.e.\(2:08\)PM answer D
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7629 [0]
Given Kudos: 215
Location: India
Send PM
Re: Jan’s house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   02 Apr 2015, 01:44
Total Distance = 24 miles.
Let say x be the distance from Cindy’s home to Restaurant. Then distance from the Jan’s home to restaurant is 2x.
x+2x = 24
3x= 24.
X= 8.
Time taken for cindy will be approximately 8/3 hours 2.40 hours. Starting from 12 noon say more than 2. 30.
So we can eliminate answer options A, B, C and E
Because Jan will take 16/30 .. So he will take little more than 30 mins.
So the answer is D.
User avatar
gmatgrl
Intern
Intern
Joined: 19 Mar 2015
Posts: 48
Own Kudos [?]: 42 [0]
Given Kudos: 11
Send PM
Re: Jan’s house and Cindy’s house are joined by a straight road 24 miles l [#permalink] New post   02 Apr 2015, 06:21
Restaurant is 8 miles from Cindy's house and 16 miles from Jan's house.

So, time taken by Cindy = 8/3 hours
Time taken by Jan = 16/30 hours = 8/15 hours

So, Cindy takes (8/3 - 8/15) hours more than Jan = 8*(1/3 - 1/15) = 8*(4/15) = 128 minutes

Hence, Cindy should start 128 minutes later than Jan. So, Cindy should start 128 minutes after noon. So, Cindy should start at 2:08 pm.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32696
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Jans house and Cindys house are joined by a straight road 24 miles l [#permalink] New post   22 Oct 2022, 00:37
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
GMAT Club Bot
gmatclubot
Re: Jans house and Cindys house are joined by a straight road 24 miles l [#permalink]
22 Oct 2022, 00:37
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions