GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 03 Jun 2020, 05:40

### 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

# Carl averaged 2m miles per hour on a trip that took him h hours. If Ru

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64199
Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

26 Apr 2019, 05:15
00:00

Difficulty:

5% (low)

Question Stats:

86% (01:21) correct 14% (01:54) wrong based on 435 sessions

### HideShow timer Statistics

Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in $$\frac{2}{3}h$$ hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

PS68502.01
Quantitative Review 2020 NEW QUESTION

_________________
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4886
GMAT 1: 770 Q49 V46
Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

26 Apr 2019, 09:49
1
Top Contributor
Bunuel wrote:
Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in $$\frac{2}{3}h$$ hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

PS68502.01
Quantitative Review 2020 NEW QUESTION

Carl averaged 2m miles per hour on a trip that took him h hours
distance = (rate)(time)
So, Carl's travel distance = (2m)(h) = 2mh

If Ruth made the same trip in 2h/3 hours, what was her average speed in miles per hour?
average speed = distance/time
So, Ruth's average speed = (2mh)/(2h/3)
= (2mh)(3/2h)
= 6m/2
= 3m

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3394
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

23 May 2019, 03:50

Solution

Given
In this question, we are given
• Carl averaged 2m miles per hour on a trip that took him h hours.
• Ruth made the same trip in 2/3h hours

To Find
We need to determine
• The average speed of Ruth, in miles per hour.

Approach & Working
Both of them are making the same trip, hence, the distance covered by both of them will be the same.
• Distance covered by Carl = 2m * h miles = 2mh miles
• Distance covered by Ruth = speed of Ruth * 2/3h miles

As the distance is same, we can write
• 2mh = speed of Ruth * 2/3h
Or, speed of Ruth = 3m

Hence, the correct answer is option E.

_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10645
Location: United States (CA)
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

28 May 2019, 06:00
Bunuel wrote:
Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in $$\frac{2}{3}h$$ hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

PS68502.01
Quantitative Review 2020 NEW QUESTION

The distance of the trip is 2mh.

So Ruth’s average speed was:

2mh/(2h/3) = 6mh/2h = 6m/2 = 3m

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

CrackVerbal Representative
Joined: 12 May 2019
Posts: 68
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

29 May 2019, 11:34
1
Formula: Speed =$$\frac{Distance}{Time}$$

For Carl:

Speed = 2m miles/hour

Time = h hours

Distance = Speed * Time = 2m * h = 2mh miles

For Ruth:

Distance = Same as that of Carl = 2mh miles

Time = 2h/3

Speed =$$\frac{Distance}{Time}$$ = $$\frac{2mh}{2h/3}$$ = 3m miles/hour

_________________
GMAT Club Legend
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4046
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

14 Feb 2020, 00:34
1
Bunuel wrote:
Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in $$\frac{2}{3}h$$ hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

PS68502.01
Quantitative Review 2020 NEW QUESTION

Check two different methods to answer the question.

Method 2 might sound really impressive.

_________________
Prosper!!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting
Check website for most affordable Quant on-Demand course 2000+ Qns (with Video explanations)
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
ACCESS FREE GMAT TESTS HERE:22 FREE (FULL LENGTH) GMAT CATs LINK COLLECTION
Intern
Status: DREAM is not what you see in sleep, DREAM is something which doesnâ€™t let you sleep.
Joined: 14 Feb 2018
Posts: 10
Location: United States
Schools: Foster '22
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru  [#permalink]

### Show Tags

03 Apr 2020, 11:29
Distance = S x T

Speed and Time are inversely proportional to each other, if distance is same.

Time changed from h hours to 2/3 h hours

hence, Speed will change from 2m miles per hour to 3/2 x 2m miles per hour

= 3m
Re: Carl averaged 2m miles per hour on a trip that took him h hours. If Ru   [#permalink] 03 Apr 2020, 11:29