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

 It is currently 13 Nov 2018, 10:15

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Essential GMAT Time-Management Hacks

November 14, 2018

November 14, 2018

07:00 PM PST

08:00 PM PST

Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST

# Train A departs Roseville heading for Springtown at 10 p.m. and train

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50570
Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

### Show Tags

21 Mar 2017, 04:32
00:00

Difficulty:

15% (low)

Question Stats:

82% (02:26) correct 18% (02:31) wrong based on 55 sessions

### HideShow timer Statistics

Train A departs Roseville heading for Springtown at 10 p.m. and train B departs Springtown at the same time headed to Roseville on a parallel track. If train A travels at 80 miles per hour and train B travels at 85 miles per hour and the distance from Springtown to Roseville is 660 miles, then how long will it take for the two trains to be at the same point relative to Springtown?

A. 3.5
B. 3.8
C. 4
D. 8
E. 8.25

_________________
Senior Manager
Joined: 24 Apr 2016
Posts: 332
Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

### Show Tags

21 Mar 2017, 10:08
The time taken by the two trains to meet at a point =

Total Distance/ Sum of the speed of the two trains (as the trains are travelling in opposite direction) = 660/(80+85) =660/165 = 4

Intern
Joined: 24 Feb 2016
Posts: 27
Location: India
Schools: LBS (A)
GMAT 1: 650 Q45 V34
GPA: 4
Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

### Show Tags

22 Mar 2017, 02:35
total speed of two trains 80 + 85= 165
165=$$\frac{660}{time}$$
time= 4 hours

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4154
Location: United States (CA)
Re: Train A departs Roseville heading for Springtown at 10 p.m. and train  [#permalink]

### Show Tags

23 Mar 2017, 15:56
1
Bunuel wrote:
Train A departs Roseville heading for Springtown at 10 p.m. and train B departs Springtown at the same time headed to Roseville on a parallel track. If train A travels at 80 miles per hour and train B travels at 85 miles per hour and the distance from Springtown to Roseville is 660 miles, then how long will it take for the two trains to be at the same point relative to Springtown?

A. 3.5
B. 3.8
C. 4
D. 8
E. 8.25

We have a converging rate problem in which we can use the formula:

distance of train A + distance of train B = total distance

Train A is traveling at a rate of 80 mph and train B is traveling at a rate of 85 mph. Since the trains both left at the same time, we can let the time of each train = t. Thus:

80t + 85t = 660

165t = 660

t = 4

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: Train A departs Roseville heading for Springtown at 10 p.m. and train &nbs [#permalink] 23 Mar 2017, 15:56
Display posts from previous: Sort by