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

It is currently 20 Sep 2018, 10:15

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

While driving on a highway, Harry and Ron crossed checkpoint P at 9 am

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

Hide Tags

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1995
While driving on a highway, Harry and Ron crossed checkpoint P at 9 am  [#permalink]

Show Tags

New post Updated on: 12 Aug 2018, 23:59
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

69% (03:54) correct 31% (04:31) wrong based on 80 sessions

HideShow timer Statistics

e-GMAT Question of the Week #4


While driving on a highway, Harry and Ron crossed checkpoint P at 9 am and 10 am, at individual speeds of 30 mph and 40 mph respectively. Professor Snape started cycling in the same direction as Harry and Ron, from point Q at 8 am at 15 mph. If Harry and Ron met each other at Q, then at what distance from Q Ron met Professor?

    A. 40
    B. 60
    C. 80
    D. 120
    E. 160



To access all the questions: Question of the Week: Consolidated List

Image

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com


Originally posted by EgmatQuantExpert on 22 Jun 2018, 07:25.
Last edited by EgmatQuantExpert on 12 Aug 2018, 23:59, edited 3 times in total.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6797
Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am  [#permalink]

Show Tags

New post 22 Jun 2018, 07:51
EgmatQuantExpert wrote:
e-GMAT Question of the Week #4


While driving on a highway, Harry and Ron crossed checkpoint P at 9 am and 10 am, at individual speeds of 30 mph and 40 mph respectively. Professor Snape started cycling in the same direction as Harry and Ron, from point Q at 8 am at 15 mph. If Harry and Ron met each other at Q, then at what distance from Q Ron met Professor?

    A. 40
    B. 60
    C. 80
    D. 120
    E. 160


Let us also work on the checkpoints..
When Ron starts at 10am, Harry has travelled for an hour is therefore 30 miles ahead and that point is Q..
Ron covers 40-30=10 miles in each hour so he will cover 30 miles in 30/10=3hours..
So Ron reaches Q at 10+3 or 1pm...
And by 1 pm, prof has travelled for 1pm-8am or 5hrs..

In 5hrs, prof has traveled 5*15=75 miles..
To cover this distance Ron requires 75/(40-15)=3hrs
In these 3 hours Ron has travelled 3*40=120 miles
So Ans 120

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
B
Joined: 17 Sep 2016
Posts: 44
GMAT 1: 640 Q44 V35
Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am  [#permalink]

Show Tags

New post 22 Jun 2018, 10:16
EgmatQuantExpert wrote:
e-GMAT Question of the Week #4


While driving on a highway, Harry and Ron crossed checkpoint P at 9 am and 10 am, at individual speeds of 30 mph and 40 mph respectively. Professor Snape started cycling in the same direction as Harry and Ron, from point Q at 8 am at 15 mph. If Harry and Ron met each other at Q, then at what distance from Q Ron met Professor?

    A. 40
    B. 60
    C. 80
    D. 120
    E. 160


Harry and Ron both met at point Q, means that they travelled the same distance D.
Harry D = Speed x (time + 1) ..... since harry took 1 hour more than Ron to cover same distance
Ron D = Speed x Time

Equating both distances, 30t+30 = 40t
So, t = 3 hours.

Ron took off 2 hours after Snape and reached at Q, therefore, Ron took 5 hours to reach Q
therefore, in 5 hours, snape covered 5 x 15 = 75 miles

use relative speed for finding relative time
so, Ron require relative time T to cover these 75 miles, i.e. 75/(40-15)..... since both travelling in same direction

T = 3 hours,
in these 3 hours , Ron would have covered, 3 x 40 = 120 miles !
Hence, Ron met Snape at 120 miles.
Senior Manager
Senior Manager
User avatar
P
Joined: 14 Dec 2017
Posts: 474
Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am  [#permalink]

Show Tags

New post 22 Jun 2018, 12:34
1
Lets consider the positions of each entity at 10 am.

Ron 10 am is at point P

Harry 10 am is at a distance of 30 miles from point P, (since speed of harry is 30mph & he was at point P @9 am)

Professor Snape 10 am has traveled for 2 hours at a speed of 15 mph, hence he is at 30 miles from point Q.



Now Ron & Harry meet at point Q, hence they together have to cover a distance of 30 miles between them.

Relative speed of Ron & Harry = 40 - 30 = 10 mph,

Hence they will take 3 hours to cover the 30 miles between them & meet each other at point Q.

Therefore they meet at point Q at 1 pm.



@1 pm Professor Snape has traveled for an additional 3 hours at speed 15 mph, hence he has traveled for 5 hours & is at 75 miles from point Q.

Now relative distance between Ron & Professor Snape is 75 miles

The relative speed at which they travel is = 40 - 15 = 25 mph

Ron will meet Professor Snape in 75/25 = 3 hours



In these 3 hours, Ron has traveled a distance of 3*40 = 120 miles

Hence Ron meets Professor Snape at a distance of 120 miles from point Q.

Answer D.


Thanks,
GyM
_________________

New to GMAT Club - https://gmatclub.com/forum/new-to-gmat-club-need-help-271131.html#p2098335

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1995
While driving on a highway, Harry and Ron crossed checkpoint P at 9 am  [#permalink]

Show Tags

New post 25 Jun 2018, 23:22

Solution



Given:
    • While driving on a highway, Harry and Ron crossed checkpoint P at 9 am and 10 am, at individual speeds of 30 mph and 40 mph respectively
    • Professor Snape started cycling in the same direction as Harry and Ron, from point Q at 8 am at 15 mph
    • Harry and Ron met each other at Q

To find:
    • The distance from Q, where Ron met Professor Snape

Approach and Working:
As Harry and Ron crossed checkpoint P at 9 am and 10 am, we can say
    • At 10 am, the distance between Harry and Ron = distance covered by Harry in 1 hour = 30 miles

Now, the speeds of Harry and Ron is 30 mph and 40 mph respectively, hence
    • From 10 am, Ron met Harry in \(\frac{30}{40 – 30}\) hours, or in 3 hours
      o Or, Ron met Harry at 1 pm at point Q

Professor Snape started cycling at the same direction as Harry and Ron, from point Q at 8 am, at a speed of 15 mph
Also, Harry and Ron reached point Q at 1 pm
    • At 1 pm, the distance already covered by Professor = \(15 * 5 = 75\) miles

Therefore, if Ron to meet Professor, then
    • Ron will take \(\frac{75}{40 – 15}\) hours = \(\frac{75}{25}\) hours = 3 hours from 1 pm
    • So, the distance Ron travelled from Q to the point where he met Professor
    = the distance travelled by Ron 3 hours = \(40 * 3 = 120\) miles

Hence, the correct answer is option D.

Answer: D

Image

_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

While driving on a highway, Harry and Ron crossed checkpoint P at 9 am &nbs [#permalink] 25 Jun 2018, 23:22
Display posts from previous: Sort by

While driving on a highway, Harry and Ron crossed checkpoint P at 9 am

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

Events & Promotions

PREV
NEXT


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®.