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

 It is currently 16 Jan 2019, 06:20

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# Alice drives her car from town M to town N at a constant rate of 35 mi

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6804
GMAT 1: 760 Q51 V42
GPA: 3.82
Alice drives her car from town M to town N at a constant rate of 35 mi  [#permalink]

### Show Tags

22 Dec 2017, 05:48
2
5
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:03) correct 31% (02:28) wrong based on 83 sessions

### HideShow timer Statistics

[GMAT math practice question]

Alice drives her car from town M to town N at a constant rate of 35 miles per hour. One hour after Alice sets out, Bob starts to drive from town N to town M along the same road at a constant rate of 45 miles per hour. If the distance between towns M and N is 355 miles, then what distance in miles has Alice traveled when she and Bob pass each other?

A. 70 miles
B. 105 miles
C. 140 miles
D. 175 miles
E. 210 miles

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Retired Moderator Joined: 25 Feb 2013 Posts: 1220 Location: India GPA: 3.82 Re: Alice drives her car from town M to town N at a constant rate of 35 mi [#permalink] ### Show Tags 22 Dec 2017, 08:16 1 MathRevolution wrote: [GMAT math practice question] Alice drives her car from town M to town N at a constant rate of 35 miles per hour. One hour after Alice sets out, Bob starts to drive from town N to town M along the same road at a constant rate of 45 miles per hour. If the distance between towns M and N is 355 miles, then what distance in miles has Alice traveled when she and Bob pass each other? A. 70 miles B. 105 miles C. 140 miles D. 175 miles E. 210 miles Distance traveled by Alice during the first 1 hour $$= 35*1=35$$ Now Bob start from opposite direction, Hence relative speed of these two will be $$= 35+45=80$$ Distance left to be covered before Alice crosses Bob$$= 355-35=320$$ Time take to cross Bob $$= \frac{320}{80}=4$$ hours So distance traveled by Alice when she crosses Bob $$= 35+4*35= 175$$ miles Option D Senior SC Moderator Joined: 22 May 2016 Posts: 2329 Alice drives her car from town M to town N at a constant rate of 35 mi [#permalink] ### Show Tags 22 Dec 2017, 08:28 MathRevolution wrote: [GMAT math practice question] Alice drives her car from town M to town N at a constant rate of 35 miles per hour. One hour after Alice sets out, Bob starts to drive from town N to town M along the same road at a constant rate of 45 miles per hour. If the distance between towns M and N is 355 miles, then what distance in miles has Alice traveled when she and Bob pass each other? A. 70 miles B. 105 miles C. 140 miles D. 175 miles E. 210 miles Closing the "gap" when travelers start at different times and travel in opposite directions. Original distance = 355 miles 1) Alice starts first and changes the distance: For one hour at 35 mph, she drives 35 miles New distance between them: (355-35)= 320 miles 2) When Bob starts, the gap between them will close faster than when just one drives. Add speeds. Combined rate is (35+45)= 80 mph 3) TIME they travel before they pass each other, D/r= t, $$\frac{320}{80} = 4$$ hrs 4) Total miles Alice traveled? One hour alone + 4 hrs while both drive: 5 hours * 35 mph = 175 miles Answer D _________________ Never look down on anybody unless you're helping them up. --Jesse Jackson Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6804 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Alice drives her car from town M to town N at a constant rate of 35 mi [#permalink] ### Show Tags 25 Dec 2017, 17:06 => After 1 hour, Alice has traveled 35 miles. So, the distance between Alice and Bob is 320 miles. Alice and Bob approach each other at a speed of 35 + 45 = 80 miles per hour. They pass each other after 320/80 = 4 hours. Thus, when they pass each other, Alice has been driving for 1 + 4 = 5 hours. The total distance she has traveled is 5 x 35 = 175 miles. Therefore, the answer is D. Answer : D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: Alice drives her car from town M to town N at a constant rate of 35 mi &nbs [#permalink] 25 Dec 2017, 17:06
Display posts from previous: Sort by