December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

eGMAT Representative
Joined: 04 Jan 2015
Posts: 2272

While driving on a highway, Harry and Ron crossed checkpoint P at 9 am
[#permalink]
Show Tags
Updated on: 12 Aug 2018, 22:59
Question Stats:
67% (03:23) correct 33% (03:24) wrong based on 92 sessions
HideShow timer Statistics
eGMAT Question of the Week #4While 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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  Statistics1  Statistics2  Remainders1  Remainders2 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.egmat.com



Math Expert
Joined: 02 Aug 2009
Posts: 7100

Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am
[#permalink]
Show Tags
22 Jun 2018, 06:51
EgmatQuantExpert wrote: eGMAT Question of the Week #4While 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 4030=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 1pm8am or 5hrs.. In 5hrs, prof has traveled 5*15=75 miles.. To cover this distance Ron requires 75/(4015)=3hrs In these 3 hours Ron has travelled 3*40=120 miles So Ans 120 D
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Intern
Joined: 17 Sep 2016
Posts: 44

Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am
[#permalink]
Show Tags
22 Jun 2018, 09:16
EgmatQuantExpert wrote: eGMAT Question of the Week #4While 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/(4015)..... 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.



Director
Joined: 14 Dec 2017
Posts: 519
Location: India

Re: While driving on a highway, Harry and Ron crossed checkpoint P at 9 am
[#permalink]
Show Tags
22 Jun 2018, 11:34
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/newtogmatclubneedhelp271131.html#p2098335



eGMAT Representative
Joined: 04 Jan 2015
Posts: 2272

While driving on a highway, Harry and Ron crossed checkpoint P at 9 am
[#permalink]
Show Tags
25 Jun 2018, 22:22
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
_________________
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  Statistics1  Statistics2  Remainders1  Remainders2 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.egmat.com




While driving on a highway, Harry and Ron crossed checkpoint P at 9 am &nbs
[#permalink]
25 Jun 2018, 22:22






