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

It is currently 23 Feb 2019, 09:11

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 in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

Rachel and Rob live 190 miles apart. They both drive in a straight lin

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
Rachel and Rob live 190 miles apart. They both drive in a straight lin  [#permalink]

Show Tags

New post 05 Feb 2019, 02:01
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (02:27) correct 43% (02:01) wrong based on 30 sessions

HideShow timer Statistics

Rachel and Rob live 190 miles apart. They both drive in a straight line toward each other to meet for tea. If Rachel drives at 50 mph and Rob drives at 70 mph, then how many miles apart will they be exactly 45 minutes before they meet?

A. 50
B. 60
C. 70
D. 90
E. 100

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
B
Joined: 07 Aug 2017
Posts: 59
Location: India
GPA: 4
WE: Information Technology (Consulting)
Re: Rachel and Rob live 190 miles apart. They both drive in a straight lin  [#permalink]

Show Tags

New post 05 Feb 2019, 03:44
IMO D.

D = 190
Relative speed S = 70+50=120
Time when Rachel and Rob meet T = 190/120= 19/12 hours

45 minutes before they meet can be represented as, T - 3/4 hours = 19/12 - 3/4 = 5/6 hours

distance covered by Rachel 45 min before she meets Rob = 50*5/6
distance covered by Rob 45 min before he meets Rachel = 70*5/6
Total distance covered by Rachel and Rob when they meet each other = 50*5/6 + 70*5/6 = 5/6*120 = 100 miles

So Rachel and Rob will be 190-100= 90 miles apart 45 mins before they meet.

---------------------------------------------
Kudos if helpful!
SVP
SVP
User avatar
G
Joined: 18 Aug 2017
Posts: 1928
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Rachel and Rob live 190 miles apart. They both drive in a straight lin  [#permalink]

Show Tags

New post 05 Feb 2019, 03:51
Bunuel wrote:
Rachel and Rob live 190 miles apart. They both drive in a straight line toward each other to meet for tea. If Rachel drives at 50 mph and Rob drives at 70 mph, then how many miles apart will they be exactly 45 minutes before they meet?

A. 50
B. 60
C. 70
D. 90
E. 100



total relative speed = 50+70 = 120 mph
distance = 190 miles
so total time they would take = 190/120 = 1.58 hours
45 mins = 45/60 = 0.75 hrs
so before 0.75 hrs they both have travelled for 1.58-0.75 = 0.83 hrs
distance travelled by Rachel = 0.83 * 50 = 41.5 miles and rob = 0.83 * 70 = 58.1
total distance = 99.6 ~100 miles
so they are 190-100 = 90 miles apart
IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4972
Location: United States (CA)
Re: Rachel and Rob live 190 miles apart. They both drive in a straight lin  [#permalink]

Show Tags

New post 07 Feb 2019, 18:42
Bunuel wrote:
Rachel and Rob live 190 miles apart. They both drive in a straight line toward each other to meet for tea. If Rachel drives at 50 mph and Rob drives at 70 mph, then how many miles apart will they be exactly 45 minutes before they meet?

A. 50
B. 60
C. 70
D. 90
E. 100


We can let t = the time if takes to meet and create the equation:

50t + 70t = 190

120t = 190

t = 190/120 = 19/12 hours or 19/12 x 60 = 95 minutes

So each will have driven for 50 minutes when it is 45 minutes before they meet. Therefore, together they will have driven (50 + 70) x 50/60 = 120 x 50/60 = 2 x 50 = 100 miles. Since the total distance is 190 miles, they will be 190 - 100 = 90 miles apart when it is exactly 45 minutes before they meet.

Alternate solution:

Notice that the distance between the two decreases by 50 + 70 = 120 miles every hour. Since they have to drive 45 more minutes to meet when it is exactly 45 minutes before they meet, they must be (50 + 70) x 45/60 = 120 x 45/60 = 2 x 45 = 90 miles apart.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

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

GMAT Club Bot
Re: Rachel and Rob live 190 miles apart. They both drive in a straight lin   [#permalink] 07 Feb 2019, 18:42
Display posts from previous: Sort by

Rachel and Rob live 190 miles apart. They both drive in a straight lin

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.