Last visit was: 23 May 2024, 12:26 It is currently 23 May 2024, 12:26
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# On the first day of her vacation, Louisa traveled 216 miles.

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 19 Nov 2009
Status:Current MBA Student
Posts: 79
Own Kudos [?]: 2790 [54]
Given Kudos: 210
Concentration: Finance, General Management
GMAT 1: 720 Q49 V40
Tutor
Joined: 16 Oct 2010
Posts: 14891
Own Kudos [?]: 65448 [51]
Given Kudos: 431
Location: Pune, India
Math Expert
Joined: 02 Sep 2009
Posts: 93435
Own Kudos [?]: 626116 [6]
Given Kudos: 81940
General Discussion
Intern
Joined: 20 Nov 2013
Posts: 10
Own Kudos [?]: 11 [0]
Given Kudos: 0
Location: Italy
GPA: 3.6
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
let v be the speed of travel; let time be x and x-3; since the speed is the same you can do 216/x-3=778/x

you got x =7 and you can find the avg speed for the entire trip simply by doing 594(total distance)/(4+7)= 54 ans e
Manager
Joined: 11 Sep 2013
Posts: 90
Own Kudos [?]: 542 [3]
Given Kudos: 381
Concentration: Finance, Finance
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
2
Kudos
1
Bookmarks
Let, Speed be x
(378/x) –(216/x) = 3 , x= 54
Intern
Joined: 14 May 2014
Posts: 35
Own Kudos [?]: 160 [0]
Given Kudos: 1
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
Just to elaborate,

Lets take average speed of Louisa is v miles per hour

Total time taken on first day to travel 216 miles = 216/v

Total time taken on second day to travel 378 miles = 378/v

Travelling time on first day is 3 hour less than travelling time on second day

travel time on first day = travel time on second day -3

216/v = 378/v - 3

162/v = 3
or v = 162/3 = 54

Manager
Joined: 24 Mar 2015
Status:love the club...
Posts: 220
Own Kudos [?]: 112 [0]
Given Kudos: 527
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
tonebeeze wrote:
On the first day of her vacation, Louisa traveled 216 miles. On the second day, traveling at the same average speed, she traveled 378 miles. If the 216-mile trip took 3 hours less than the 378-mile trip, what was the average speed, in miles per hour?

A. 31
B. 38
C. 50
D. 54
E. 56

Hey All,

This question is not difficult. I got the question correct rather quickly by using the Plug in method. I want to make sure I understand how to quickly solve this problem using algebra. Can someone please walk me through this. Thanks!

hi

378/x - 216/x = 3
or, x = 54

thanks
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18899
Own Kudos [?]: 22304 [1]
Given Kudos: 285
Location: United States (CA)
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
1
Bookmarks
tonebeeze wrote:
On the first day of her vacation, Louisa traveled 216 miles. On the second day, traveling at the same average speed, she traveled 378 miles. If the 216-mile trip took 3 hours less than the 378-mile trip, what was the average speed, in miles per hour?

A. 31
B. 38
C. 50
D. 54
E. 56

We can let the time to travel the 216 miles = t and the time to travel the 378 miles = t + 3. Since the rates are the same and rate = distance/time, we have:

216/t = 378/(t + 3)

216(t + 3) = 378t

216t + 648 = 378t

648 = 162t

4 = t

Thus, the average speed was 216/4 = 54 mph.

Intern
Joined: 27 Oct 2015
Posts: 19
Own Kudos [?]: 12 [0]
Given Kudos: 319
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
tonebeeze wrote:
Hey All,

This question is not difficult. I got the question correct rather quickly by using the Plug in method. I want to make sure I understand how to quickly solve this problem using algebra. Can someone please walk me through this. Thanks!

"On the first day of her vacation, Louisa traveled 216 miles. On the second day, traveling at the same average speed, she traveled 378 miles. If the 216-mile trip took 3 hours less than the 378-mile trip, what was the average speed, in miles per hour?"

1. 31
b. 38
c. 50
d. 54
3. 56

Rather than plugging numbers, the easier way would be to use logic here...
216 mile trip took 3 hrs less because Louisa traveled 162 miles (= 378 - 216) less. That means her average speed must be 162/3 = 54 miles/hr.

Karishma,

Thankuverymuch, reallyfastwayofsolving. can u give please any theory on this kind of application of logic?

THANK UUUUUUU
VP
Joined: 14 Feb 2017
Posts: 1113
Own Kudos [?]: 2168 [0]
Given Kudos: 368
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 600 Q38 V35
GMAT 6: 710 Q47 V41
WE:Management Consulting (Consulting)
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
Rate * Time = Distance

R * T-3 = 216
RT -3R = 216

and we know in the second leg R*T = 378

sub in

378 - 3R = 216
3R = 162
R=54

We are told that she went at the same rate each leg, so the average speed will be the same.
Non-Human User
Joined: 09 Sep 2013
Posts: 33151
Own Kudos [?]: 829 [0]
Given Kudos: 0
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
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.
Re: On the first day of her vacation, Louisa traveled 216 miles. [#permalink]
Moderator:
Math Expert
93435 posts