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

 It is currently 17 Jun 2019, 22:55

### 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

# Scott takes a trip and drives 6 hours from Town X to Town Z at a rate

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55631
Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

20 Mar 2016, 23:51
00:00

Difficulty:

5% (low)

Question Stats:

95% (01:20) correct 5% (02:04) wrong based on 296 sessions

### HideShow timer Statistics

Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?

A. 1.0
B. 1.25
C. 1.5
D. 1.75
E. 2.0

_________________
Intern
Status: GMAT...Not Again.....
Joined: 19 Oct 2015
Posts: 27
Location: India
Concentration: Strategy, Entrepreneurship
GMAT 1: 610 Q48 V27
WE: Engineering (Energy and Utilities)
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

21 Mar 2016, 00:40
distance from X to Z =6 hr* 50 mph= 300 miles
hence distance from Y to Z= 1/2*300=150
time=150/75=2 hr

IMO: E
_________________
correct if wrong, and a +1 wont hurt for like

Keep Faith in God Coz Every Question cannot be answered by Google
Intern
Status: GMAT...Not Again.....
Joined: 19 Oct 2015
Posts: 27
Location: India
Concentration: Strategy, Entrepreneurship
GMAT 1: 610 Q48 V27
WE: Engineering (Energy and Utilities)
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

21 Mar 2016, 00:42
distance from X to Z =6 hr* 50 mph= 300 miles
hence distance from Y to Z= 1/2*300=150
time=150/75=2 hr

IMO: E

m i missing something? this que seems pretty straight forward.
_________________
correct if wrong, and a +1 wont hurt for like

Keep Faith in God Coz Every Question cannot be answered by Google
Intern
Joined: 17 Mar 2016
Posts: 3
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

22 Mar 2016, 08:46
1
You can solve the question by referring to the distance/speed/time tabular which helps you visualize the problem.

1) Assign a variable for any unknown quantity (Try to express quantities in terms of other quantities already present, such as x and 0.5*x for the distance)
2) Solve for the required variable t

$$x=6*50=300 miles$$

$$0.5*300=75*t$$

$$t=2 hours$$

Attachments

Unbenannt.JPG [ 17.18 KiB | Viewed 3045 times ]

Manager
Joined: 22 Nov 2016
Posts: 205
Location: United States
GPA: 3.4
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

23 Jun 2017, 16:23

Simple approach

D=RxT
D=50x6
D=300 miles
X--------Z
<--300-->

Y is the mid point, i.e at the 150th mile.
At R=75, you will reach the 150th mile in, 150/75 = 2 hrs

Hence it will take 2 more hrs to reach Z which is another 150 miles away.
_________________
Kudosity killed the cat but your kudos can save it.
Director
Joined: 12 Nov 2016
Posts: 715
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

13 Aug 2017, 13:14
Bunuel wrote:
Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y?

A. 1.0
B. 1.25
C. 1.5
D. 1.75
E. 2.0

This is simply a round trip question

The distance between X and Z obviously

Distance= rate * time
Distance= 50mph * 6hr
300=

75/150 = 2

E
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 14347
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate  [#permalink]

### Show Tags

29 Dec 2018, 13:04
Hi All,

We're told that Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is MIDWAY between Town X and Town Z. We're asked for the number of HOURS Scott takes to drive from Town Z to Town Y. This question is a multi-step 'rate' question; the individual steps aren't too difficult, so you just have to do the necessary work on your pad and keep track of your data.

To start, Scott drives 6 hours at 50 miles/hour... so he traveled (6)(50) = 300 miles
He then drives back at 75 miles/hour... so the trip back would take 300/75 = 4 hours
On the way back, he stops MIDWAY through, so he stops after 150 miles and 2 hours.
The rest of the trip will be the remaining 150 miles and 2 hours.

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Re: Scott takes a trip and drives 6 hours from Town X to Town Z at a rate   [#permalink] 29 Dec 2018, 13:04
Display posts from previous: Sort by