NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 02:28 It is currently 24 Apr 2024, 02:28
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

Truck X is 13 miles ahead of Truck Y, which is traveling the same dire

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
bschool83
Manager
Manager
Joined: 21 May 2011
Posts: 136
Own Kudos [?]: 1342 [7]
Given Kudos: 8
Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   Updated on: 16 Jan 2017, 03:10
2
Kudos
5
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

80% (01:20) correct 20% (02:15) wrong based on 174 sessions
Hide Show timer Statistics
Truck X is 13 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?

A. 2 hours
B. 2 hours 20 minutes
C. 2 hours 30 minutes
D. 2 hours 45 minutes
E. 3 hours
ShowHide Answer
Official Answer
E

Originally posted by bschool83 on 12 Aug 2011, 15:28.
Last edited by Bunuel on 16 Jan 2017, 03:10, edited 1 time in total.
Renamed the topic and edited the question.
User avatar
Aj85
Manager
Manager
Joined: 14 Mar 2011
Posts: 162
Own Kudos [?]: 300 [1]
Given Kudos: 21
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   12 Aug 2011, 17:52
1
Kudos
bschool83 wrote:
Track X is 13 miles ahead of Truck Y, which is travelling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?



Let the time taken by truck Y to overtake truck X by 5 kms be Z hrs. Now according to question, truck Y is 13 miles behind truck x and after Z hrs it overtakes truck truck X by 5 miles. so in z hrs truck Y will have traveled 18 miles more than truck x. so,

47Z +18 = 53Z

18 =6Z , thus Z = 3 hrs.

so truck Y will take 3 hrs to overtake truck X by 5 miles.
User avatar
anordinaryguy
Manager
Manager
Joined: 28 May 2011
Posts: 110
Own Kudos [?]: 152 [4]
Given Kudos: 7
Location: United States
Concentration: General Management, International Business
GMAT 1: 720 Q49 V38
GPA: 3.6
WE:Project Management (Computer Software)
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   12 Aug 2011, 19:58
3
Kudos
1
Bookmarks
Relative speed of Truck Y (wrt speed of X) = 53-47 = 6
Distance Truck Y needs to travel = 13 (distance between X and Y) + 5 (To go 5 miles ahead of X) = 18

So time required = 18/6 = 3 Hours
User avatar
bschool83
Manager
Manager
Joined: 21 May 2011
Posts: 136
Own Kudos [?]: 1342 [0]
Given Kudos: 8
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   13 Aug 2011, 07:28
For those who want to learn a more strategic way to solve such problems:

If two objects start moving towards each other in straight line at the same time, their speeds add up. If moving away, subtract their speeds.

Therefore at a given time, X and Y are 13 + 5 = 18 miles apart. Their speeds relative to each other is 53 - 47 = 6mph.
Therefore, they meet in 18/6 hrs = 3 hours.
avatar
david088
Intern
Intern
Joined: 13 Aug 2011
Posts: 1
Own Kudos [?]: [0]
Given Kudos: 0
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   13 Aug 2011, 12:28
Hi guys, is this a 700 level question?!?! i'm asking it because i've started studying the quantitative section a few days ago but it seams not that tough ah? thanks
User avatar
LalaB
Current Student
Joined: 23 Oct 2010
Posts: 235
Own Kudos [?]: 1111 [0]
Given Kudos: 73
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Send PM
GMAT ToolKit User
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   14 Aug 2011, 10:18
well, in ''overtake'' problems u need to subtract one speed from another one. to overcome X, Y needs to ride 13+5 miles. so (53-47)t=13+5 6t=18 t=3 h
User avatar
Spidy001
Senior Manager
Senior Manager
Joined: 01 Feb 2011
Posts: 309
Own Kudos [?]: 324 [0]
Given Kudos: 42
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   14 Aug 2011, 10:55
Relative speed = 6 mph => Y gains 6 miles every hour.

Y needs to travel 18 miles more than X. => Y needs to gain 18 miles.

from the above two statements we can say that it will take 3 hours for Truck Y to overtake and drive 5 miles ahead of Truck X.

Answer 3 hours.
avatar
FightToSurvive
Manager
Manager
Joined: 18 Sep 2014
Posts: 198
Own Kudos [?]: 234 [1]
Given Kudos: 5
Schools: ISB '18 (A) Fisher '19 (II) Smeal Penn State "19 (A$) Kelley '19 (S) Olin '19 (S) Simon '19 (A$) Broad '19 (S)
Send PM
Reviews Badge
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   28 Dec 2015, 03:19
1
Kudos
Truck X is 13 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?

Relative speed = 53-47 = 6 miles per hour
Dist required = 13+5 = 18 miles
Time taken to overtake = 18/6 = 3 hours. E is the answer.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6271 [2]
Given Kudos: 1646
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   18 Jan 2017, 11:04
2
Kudos
Expert Reply
bschool83 wrote:
Truck X is 13 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 47 miles per hour and Truck Y is traveling at an average speed of 53 miles per hour, how long will it take Truck Y to overtake and drive 5 miles ahead of Truck X?

A. 2 hours
B. 2 hours 20 minutes
C. 2 hours 30 minutes
D. 2 hours 45 minutes
E. 3 hours


We have a catch-up-and-pass problem, for which we can use the formula:

change in distance/change in rate = catch-up-and-pass time

We are given that Truck X is 13 miles ahead of Truck Y, and we need to determine the time it takes Truck Y to overtake Truck X by 5 miles. Thus, the change in distance is 13 + 5 = 18 miles.

We are also given that Truck X travels at a constant speed of 47 mph and Truck Y at a speed of 53 miles per hour. Thus, the change in rate is 53 - 47 = 6 mph.

Therefore, the catch-up-and-pass time is: 18/6 = 3 hours.

Answer: E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32641
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink] New post   17 Jun 2020, 05:35
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: Truck X is 13 miles ahead of Truck Y, which is traveling the same dire [#permalink]
17 Jun 2020, 05:35
Moderators:
Bunuel
Math Expert
92893 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