NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 21:58 It is currently 25 Apr 2024, 21:58
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

One person travels from X to Y and then from Y to X. He takes differen

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619055 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   25 Feb 2020, 03:20
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

68% (01:49) correct 32% (01:48) wrong based on 60 sessions
Hide Show timer Statistics
One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

(1) The distance of the return trip was 24% of the entire travel distance.
(2) The distance of the return trip is 100 miles.
ShowHide Answer
Official Answer
A
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   Updated on: 12 Mar 2020, 06:01
Expert Reply
Bunuel wrote:
One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

(1) The distance of the return trip was 24% of the entire travel distance.
(2) The distance of the return trip is 100 miles.


\(Average Speed = \frac{Total Distance }{ Total Time}\)

Statement 1: The distance of the return trip was 24% of the entire travel distance.

Let total Distance = D
Return trip distance = 0.24 D
Forward Trip distance = 0.76 D

i.e. Average speed = D / [(0.76D/36) + (0.24D/48)], We het a unique value of Average Speed hence

SUFFICIENT

Statement 2: The distance of the return trip is 100 miles

Distance of forward trip is unknown hence

NOT SUFFICIENT

Answer: Option A

Originally posted by GMATinsight on 25 Feb 2020, 08:25.
Last edited by GMATinsight on 12 Mar 2020, 06:01, edited 1 time in total.
User avatar
B
SaikatRoy
Intern
Intern
Joined: 03 Jan 2020
Posts: 34
Own Kudos [?]: 14 [0]
Given Kudos: 0
Send PM
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   11 Mar 2020, 04:58
It's given that it took him 36 mph to move from X to Y, and 48 mph come from Y to X.
We need to find out the average speed of his entire travel.
We already know that
Average Speed=Total Distance Travelled/ Total Time Taken.

Statement 1 states that the distance of the return trip was 24% of the entire travel distance.
i.e. Average speed = (0.24D+0.66D) / [(0.66D/36) + (0.24D/48)]
And this gives a definite value for Average speed.
Hence Sufficient.
Keep AD. Cancel BCE.

Statement 2 states that the distance of the return trip is 100 miles
ie Y to X distance is 100 miles but X to Y distance is not known.
Hence Not Sufficient.
Cancel D.

Answer Is Option A
avatar
B
SonamRa
Intern
Intern
Joined: 05 Jan 2020
Posts: 29
Own Kudos [?]: 8 [0]
Given Kudos: 45
Location: India
Schools: ESADE IESE '24 IMD '22 ISB '23 Judge '23 LBS '24 Erasmus Bocconi HEC Sept'22 Intake
GMAT 1: 670 Q49 V33
Send PM
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   11 Mar 2020, 05:12
And is A as we can calculate total distance proportion in each side based on percentage of distance given but details given in B are not sufficient to calculate distance or ratio

Posted from my mobile device
avatar
B
Jane121393
Intern
Intern
Joined: 04 Jul 2019
Posts: 14
Own Kudos [?]: 3 [0]
Given Kudos: 27
Send PM
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   12 Mar 2020, 05:01
GMATinsight wrote:
Bunuel wrote:
One person travels from X to Y and then from Y to X. He takes different routes back and forth. It took him 36 miles per hour to move from X to Y, and it took him 48 miles per hour to come from Y to X. What was the average speed of his entire travel?

(1) The distance of the return trip was 24% of the entire travel distance.
(2) The distance of the return trip is 100 miles.


\(Average Speed = \frac{Total Distance }{ Total Time}\)

Statement 1: The distance of the return trip was 24% of the entire travel distance.

Let total Distance = D
Return trip distance = 0.24 D
Forward Trip distance = 0.66 D

i.e. Average speed = D / [(0.66D/36) + (0.24D/48)], We het a unique value of Average Speed hence

SUFFICIENT

Statement 2: The distance of the return trip is 100 miles

Distance of forward trip is unknown hence

NOT SUFFICIENT

Answer: Option A


GMATinsight: why the forward trip distance = 0.66D? I think it must be 0.76D. Am I wrong? Pls correct me.
avatar
B
SonamRa
Intern
Intern
Joined: 05 Jan 2020
Posts: 29
Own Kudos [?]: 8 [0]
Given Kudos: 45
Location: India
Schools: ESADE IESE '24 IMD '22 ISB '23 Judge '23 LBS '24 Erasmus Bocconi HEC Sept'22 Intake
GMAT 1: 670 Q49 V33
Send PM
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   12 Mar 2020, 05:43
Statement 1. Provides information to calculate distance ratio and it can help in making equation to calculate
While statement 2 doesn't provide any info or establish any relationship b/w time distance or speed

Posted from my mobile device
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink] New post   12 Mar 2020, 06:02
Expert Reply
GMATinsight: why the forward trip distance = 0.66D? I think it must be 0.76D. Am I wrong? Pls correct me.[/quote]

Jane121393

You are right. Typo error. Made the correction. :)

Thank you... :)
GMAT Club Bot
gmatclubot
Re: One person travels from X to Y and then from Y to X. He takes differen [#permalink]
12 Mar 2020, 06:02
Moderator:
Bunuel
Math Expert
92915 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