NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 18:38 It is currently 25 Apr 2024, 18:38
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

Two vehicles leave the same location at the same time. The first vehic

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 [?]: 619034 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   29 Mar 2018, 00:42
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

90% (01:37) correct 10% (02:09) wrong based on 110 sessions
Hide Show timer Statistics
Two vehicles leave the same location at the same time. The first vehicle travels due east at 70 miles per hour. The other vehicle travels due west at 60 miles per hour. Assuming they continue at their respective speeds without stopping, how long (in hours) will it take for the two vehicles to be 455 miles apart?

(A) 2.75
(B) 3.5
(C) 4.25
(D) 4.75
(E) 5.5
ShowHide Answer
Official Answer
B
User avatar
D
Gladiator59
Director
Director
Joined: 16 Sep 2016
Status:It always seems impossible until it's done.
Posts: 645
Own Kudos [?]: 2055 [2]
Given Kudos: 174
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Send PM
GMAT ToolKit User Reviews Badge
Re: Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   29 Mar 2018, 01:16
2
Bookmarks
Bunuel wrote:
Two vehicles leave the same location at the same time. The first vehicle travels due east at 70 miles per hour. The other vehicle travels due west at 60 miles per hour. Assuming they continue at their respective speeds without stopping, how long (in hours) will it take for the two vehicles to be 455 miles apart?

(A) 2.75
(B) 3.5
(C) 4.25
(D) 4.75
(E) 5.5


The vehicles are moving opposite to each other, hence speed with which distance between them increases is 70 + 60 mph

d = speed * time

\(455 = 130 * t\)
\(t = 455 /130\)
\(t = 3.5\)

Hence Option (B) is correct.

Best,
Gladi
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 [2]
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
Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   29 Mar 2018, 03:48
1
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
Two vehicles leave the same location at the same time. The first vehicle travels due east at 70 miles per hour. The other vehicle travels due west at 60 miles per hour. Assuming they continue at their respective speeds without stopping, how long (in hours) will it take for the two vehicles to be 455 miles apart?

(A) 2.75
(B) 3.5
(C) 4.25
(D) 4.75
(E) 5.5


The best method to answer this question will be using the Relative speed

Relative speed of the two objects is defined as change ijn distance between the two objects in unit time

i.e. Relative speed of two moving objects with speed a and b travelling in same direction = a-b
and Relative speed of two moving objects with speed a and b travelling in Opposite direction = a+b

The the case given to us is the case of two trains moving in opposite directions hence

Relative Speed = 70+60 = 130 miles per hour

Time = Relative Distance / Relative Speed

i.e. Time = 455 / 130 = 3.5 Hours

Answer: option B


ALTERNATIVE:

Let, After t hours the distance between the two trains = 455 miles

Distance travelled by First train in t hours = Speed * Time = 70*t
Distance travelled by Second train in t hours = Speed * Time = 60*t

Total Distance travelled by the two trains together = 70t + 60t = 455 (Given)

i.e. 130t = 455

i.e. t = 3.5

Answer: option B
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22054 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   30 Mar 2018, 10:51
Expert Reply
Bunuel wrote:
Two vehicles leave the same location at the same time. The first vehicle travels due east at 70 miles per hour. The other vehicle travels due west at 60 miles per hour. Assuming they continue at their respective speeds without stopping, how long (in hours) will it take for the two vehicles to be 455 miles apart?

(A) 2.75
(B) 3.5
(C) 4.25
(D) 4.75
(E) 5.5


We can let t = the time each car drives and create the equation:

70t + 60t = 455

130t = 455

t = 455/130 = 3.5 hours

Answer: B
User avatar
L
AkshdeepS
VP
VP
Joined: 13 Apr 2013
Status:It's near - I can see.
Posts: 1479
Own Kudos [?]: 1603 [0]
Given Kudos: 1002
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Send PM
Reviews Badge
Re: Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   14 Apr 2018, 23:18
Bunuel wrote:
Two vehicles leave the same location at the same time. The first vehicle travels due east at 70 miles per hour. The other vehicle travels due west at 60 miles per hour. Assuming they continue at their respective speeds without stopping, how long (in hours) will it take for the two vehicles to be 455 miles apart?

(A) 2.75
(B) 3.5
(C) 4.25
(D) 4.75
(E) 5.5


Effective speed = 60 + 70 = 130 m/h

Distance = 455 m

Therefore, Effective time = \(\frac{455}{130}\)= \(\frac{7}{2}\)= \(3.5 hrs\)

(B)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32680
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Two vehicles leave the same location at the same time. The first vehic [#permalink] New post   09 Aug 2023, 08:35
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: Two vehicles leave the same location at the same time. The first vehic [#permalink]
09 Aug 2023, 08:35
Moderators:
Bunuel
Math Expert
92915 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