GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Jul 2018, 04:03

### 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

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

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47168
Two vehicles leave the same location at the same time. The first vehic  [#permalink]

### Show Tags

29 Mar 2018, 00:42
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:15) correct 14% (01:49) wrong based on 73 sessions

### HideShow 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

_________________
Manager
Joined: 16 Sep 2016
Posts: 225
WE: Analyst (Health Care)
Re: Two vehicles leave the same location at the same time. The first vehic  [#permalink]

### Show Tags

29 Mar 2018, 01:16
1
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,
SVP
Joined: 08 Jul 2010
Posts: 2120
Location: India
GMAT: INSIGHT
WE: Education (Education)
Two vehicles leave the same location at the same time. The first vehic  [#permalink]

### Show Tags

29 Mar 2018, 03:48
1
1
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

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

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2973
Location: United States (CA)
Re: Two vehicles leave the same location at the same time. The first vehic  [#permalink]

### Show Tags

30 Mar 2018, 10:51
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

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1154
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: Two vehicles leave the same location at the same time. The first vehic  [#permalink]

### Show Tags

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)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Re: Two vehicles leave the same location at the same time. The first vehic &nbs [#permalink] 14 Apr 2018, 23:18
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.