It is currently 20 Nov 2017, 20:14

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

On his trip from Alba to Benton, Julio drove the first x

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
Joined: 05 Nov 2005
Posts: 223

Kudos [?]: 98 [1], given: 0

Location: Germany
On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 08:57
1
This post received
KUDOS
9
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:27) correct 38% (01:26) wrong based on 283 sessions

HideShow timer Statistics

On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first X miles?

(1) On this trip, Julio drove for a total of 10 hours and a total of 530 miles
(2) On this trip, it took Julio 4 more hours to drive the first x miles than to drive the remaining distance

How do you guys calculate for how many miles he drove 50 miles/hour and for how many miles he drove 60 miles an hour?
[Reveal] Spoiler: OA

Last edited by NoHalfMeasures on 15 Jan 2016, 08:58, edited 3 times in total.
Edited the question stem. Thanks to dimitri92.

Kudos [?]: 98 [1], given: 0

2 KUDOS received
Director
Director
avatar
Joined: 17 Dec 2005
Posts: 544

Kudos [?]: 40 [2], given: 0

Location: Germany
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 09:43
2
This post received
KUDOS
He travels:

x*50 + y*60= kilometers, whereas x and y are respective times.

statement a gives us that the time x+y= 10 hours and the kilometers are 530, thus we have to equations and two variables.

x*50 + y*60=530
x + y = 10 or y = 10 - x

Kudos [?]: 40 [2], given: 0

1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 05 Oct 2005
Posts: 485

Kudos [?]: 8 [1], given: 0

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 10:55
1
This post received
KUDOS
sandalphon wrote:
On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 milesper hour. How long did it take Julio to drive the first x miles?

(a) On this trip, Julio drove for a total of 10 hours and drove a total of 530 miles.




How do you guys calculate for how many miles he drove 50 miles/hour and for ho wmany miles he drove 60 miles an hour?


I'm assuming this is a PS question...
rt=D

I would set it up like this; we will call the 2 segments of the trip A, and B.

....... A ........ B
R ..... 50 ...... 60

T ...... t ....... 10-t

D ....... x ....... 530-x


Derive 2 equations from this.

50t = x
60(10-t) = 530-x

Substitute

600 - 60t = 530 - 50t
Solve for t, you get t = 7... Answer is 7 hours

Kudos [?]: 8 [1], given: 0

Senior Manager
Senior Manager
avatar
Joined: 11 Nov 2005
Posts: 324

Kudos [?]: 16 [0], given: 0

Location: London
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 15:27
7 HOURS


SIMPLIFIED...............

total time =10 h

total distance 530 miles

average speed different,

for x mile, 50m/h, and for (530-x) miles 60m/h

from this x/50 h+ (530-x)/60 h =10 h
so x=350 miles
and 350miles/50m/h = 7h

Kudos [?]: 16 [0], given: 0

SVP
SVP
User avatar
Joined: 16 Oct 2003
Posts: 1798

Kudos [?]: 173 [0], given: 0

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 20:09
d = rt
x = 50t <---- eq1
530 - x = 60(10 - t)
530 - x = 600 - 60t < -----substitute 50t for x
you will get t = 7

Kudos [?]: 173 [0], given: 0

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 453 [0], given: 0

Location: Singapore
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 20 Dec 2005, 20:17
If he travelled x miles at 50miles per hour and the remaining distance at 60 miles per hour, then this remaining distance is (530-x)miles.

You can calculate x by equating:

x/50 + (530-x)/60 = 10

Kudos [?]: 453 [0], given: 0

1 KUDOS received
Senior Manager
Senior Manager
User avatar
B
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 320

Kudos [?]: 896 [1], given: 28

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 08 Jun 2010, 10:07
1
This post received
KUDOS
sandalphon wrote:
On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 milesper hour. How long did it take Julio to drive the first x miles?

(a) On this trip, Julio drove for a total of 10 hours and drove a total of 530 miles.

How do you guys calculate for how many miles he drove 50 miles/hour and for ho wmany miles he drove 60 miles an hour?


the complete question is..

On his trip from Alba to Benton, Julia drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first x miles ?
1) On his trip, Julio drove for a total of 10 hrs and drove a total of 530 miles
2) On his trip,it took Julio 4 more hours to drive the first x miles than to drive the remaining distance.


Solution:
d=vt

let
d=total distance
t1=total time taken to cover x miles
t2=total time taken to cover d-x miles (the remaining miles)

t1=x/50 ; t2=(d-x)/60 ----> we have these equations before even looking at the statemenets

statement(1)
t1+t2=10; d=530
put the values in the above equations

x/50 + (530-x)/60 = 10

no need to calculate x's value. just looking at the equation, we can see that x's value can be determined and, thus, the value of t1 can be determined.

SUFFICIENT

statement(2)
t1=t2+4
we still don't know the value of d, so we can't calculate the value of t1.

INSUFFICIENT


_________________

press kudos, if you like the explanation, appreciate the effort or encourage people to respond.

Download the Ultimate SC Flashcards

Kudos [?]: 896 [1], given: 28

Intern
Intern
avatar
Joined: 25 Mar 2011
Posts: 1

Kudos [?]: [0], given: 0

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 15 May 2011, 19:29
Can somebody answer this -

What is wrong with using smart numbers to solve the 2

assume distance is 300

50 * (t+4) = x
60 * (t) = 300-x

Add it up

50*(t+4) + 60*(t) = 300

And solve for t

Kudos [?]: [0], given: 0

Manager
Manager
avatar
Status: GMAT in 4 weeks
Joined: 28 Mar 2010
Posts: 179

Kudos [?]: 193 [0], given: 25

GPA: 3.89
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 15 May 2011, 20:37
Lets solve this by alligation.

From Statment 1:
Avg speed=53 mile/hr it comes from avg of 2 speeds 50 and 60 (as per Q)
50--53------60
53 is closer to 50 hence we need travel more at 50 miles/hr speed.
Total hours 10 need to divided in to speeds 50 and 60.
Time spend will be in inverse ration of two speeds
50--53------60
7hrs--------3 hrs




@shantascherla: how can you assume numbers when they are given in the question.

Well but i think it will work if you are solving DS question and you are aware that you dont need to find the correct answer. All you got to do is find out if a Unique ans is possible or not.
_________________

If you liked my post, please consider a Kudos for me. Thanks!

Kudos [?]: 193 [0], given: 25

VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1283

Kudos [?]: 286 [0], given: 10

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 15 May 2011, 21:01
shantascherla wrote:
Can somebody answer this -

What is wrong with using smart numbers to solve the 2

assume distance is 300

50 * (t+4) = x
60 * (t) = 300-x

Add it up

50*(t+4) + 60*(t) = 300

And solve for t


clean A here.

2- X = (t+4) * 50 D-X = t * 60

Assuming D will clearly give you t here and hence X. However, this is not given in the question stem.
Hence to be avoided.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Kudos [?]: 286 [0], given: 10

TOEFL Forum Moderator
avatar
Joined: 16 Nov 2010
Posts: 1602

Kudos [?]: 600 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Premium Member Reviews Badge
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 16 May 2011, 06:03
(1)

x/50 + (530-x)/60 = 10

Sufficient

(2)

x/50 = y/60 + 4

Not Sufficient

Answer - A
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 600 [0], given: 40

Senior Manager
Senior Manager
avatar
Joined: 29 Jan 2011
Posts: 339

Kudos [?]: 246 [0], given: 87

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 19 Jul 2011, 00:38
SunShine wrote:
7 HOURS


SIMPLIFIED...............

total time =10 h

total distance 530 miles

average speed different,

for x mile, 50m/h, and for (530-x) miles 60m/h

from this x/50 h+ (530-x)/60 h =10 h
so x=350 miles
and 350miles/50m/h = 7h




How do you get x = 350? Isnt x = 35 instead of 350 ?? because at the end if you solve the equation you get x = 350/10 ...see below

x/50 + (530 - x)/60 = 10

10x/300 = 10 - (530/60)

10x/300 = 600-530/60

10x/300 = 7/6

x = (7 *300) / (10*6) = 35 ???

Kudos [?]: 246 [0], given: 87

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15614

Kudos [?]: 283 [0], given: 0

Premium Member
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 27 Feb 2016, 17:40
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

1 KUDOS received
Board of Directors
User avatar
G
Joined: 17 Jul 2014
Posts: 2677

Kudos [?]: 432 [1], given: 200

Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 22 Nov 2016, 08:50
1
This post received
KUDOS
1
This post was
BOOKMARKED
sandalphon wrote:
On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first X miles?

(1) On this trip, Julio drove for a total of 10 hours and a total of 530 miles
(2) On this trip, it took Julio 4 more hours to drive the first x miles than to drive the remaining distance

How do you guys calculate for how many miles he drove 50 miles/hour and for how many miles he drove 60 miles an hour?


the answer is A.
i created two expressions
time traveled first x miles: x/50
time traveled remaining part: D-x/60, where D is the total distance.

1. D = 530, and we can write:
x/50 + 530-x/60 = 10 -> we can solve for X, we can find x/50 - sufficient.

2. x/50 - D-x/60 = 4 -> we still have 2 unknowns, we can't answer the question - not sufficient.

Kudos [?]: 432 [1], given: 200

Intern
Intern
avatar
B
Joined: 17 Oct 2016
Posts: 4

Kudos [?]: [0], given: 0

Re: On his trip from Alba to Benton, Julio drove the first x [#permalink]

Show Tags

New post 29 Sep 2017, 21:33
I did this by creating an R*T = D table and separated the two trips

Let d be distance in part A of the trip
Let t be the time in part A of the trip

Let D be total distance
Let T be total time


Rate * Time = Distance
Trip A 50 * t = d
Trip B 60 * T-t = D-d

By looking at this, you have 4 variables and 2 equations.

Statement 1:
T = 10 D = 530
This reduces to 2 variables and 2 equations.
Sufficient

Statement 2:
t+4 this only tells us the rough difference. It could be t=8, making T=12 or t=10, making T=14
Insufficient

Kudos [?]: [0], given: 0

Re: On his trip from Alba to Benton, Julio drove the first x   [#permalink] 29 Sep 2017, 21:33
Display posts from previous: Sort by

On his trip from Alba to Benton, Julio drove the first x

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.