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

It is currently 17 Dec 2018, 02:08

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • 10 Keys to nail DS and CR questions

     December 17, 2018

     December 17, 2018

     06:00 PM PST

     07:00 PM PST

    Join our live webinar and learn how to approach Data Sufficiency and Critical Reasoning problems, how to identify the best way to solve each question and what most people do wrong.
  • R1 Admission Decisions: Estimated Decision Timelines and Chat Links for Major BSchools

     December 17, 2018

     December 17, 2018

     10:00 PM PST

     11:00 PM PST

    From Dec 5th onward, American programs will start releasing R1 decisions. Chat Rooms: We have also assigned chat rooms for every school so that applicants can stay in touch and exchange information/update during decision period.

Rajesh and Pihu started walking from the same point in opposite direct

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

Hide Tags

DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
Rajesh and Pihu started walking from the same point in opposite direct  [#permalink]

Show Tags

New post 25 Nov 2018, 21:09
1
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (01:11) correct 40% (01:29) wrong based on 35 sessions

HideShow timer Statistics

Rajesh and Pihu started walking from the same point in opposite directions on a circular racing track of circumference 300 yards. When will the two meet for the first time on the track, if they keep walking continuously at their respective speeds?

(1) Ratio of speeds of Rajesh and Pihu is 3:2.

(2) Pihu can complete one round of the track in 30 minutes, if she walks continuously at her speed.
Director
Director
User avatar
P
Joined: 18 Jul 2018
Posts: 503
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member Reviews Badge CAT Tests
Re: Rajesh and Pihu started walking from the same point in opposite direct  [#permalink]

Show Tags

New post 25 Nov 2018, 21:45
1
Statement 1 is insufficient since only the ratio of their speed is given.

From statement 2:

Speed pihu is 300/30 = 10 yards/min.
Insufficient.

Combining both:

The ratio of speed of R:P = 3:2
Speed of R becomes 15 yards/min

Both will meet after 300/15+10 = 12 min.

C is the answer.
_________________

When you want something, the whole universe conspires in helping you achieve it.

Manager
Manager
User avatar
B
Joined: 05 Oct 2017
Posts: 63
Location: India
Schools: GWU '21, Isenberg'21
CAT Tests
Rajesh and Pihu started walking from the same point in opposite direct  [#permalink]

Show Tags

New post Updated on: 26 Nov 2018, 23:54
Its a good trap Question , if you don't use the all the details given in the question.
Option C is the Correct the Choice

Given, Rajesh and Pihu are travelling in opposite direction.
Circumference(total Distance) = 300

Asked , when Rajesh and Pihu will meet ?

Statement 1 = Ratio of their speed 3:2
Now as we know time travel to reach the first meeting point will be same for both of them hence we have

\(\frac{D1}{S1}\) = \(\frac{D2}{S2}\) ........(I)
Where D1 is the distance travel by rajesh and S1 is the speed of rajesh and D2 is the distance travel by Pihu and S2 is the speed of Pihu.

Also D1 + D2 = 300 as we know both are travelling in opposite direction and total distance/circumference is 300 .......(II)

From the first equation we have
\(\frac{D1}{D2}\) =\(\frac{S1}{S2}\)
= \(\frac{D1}{D2}\) =\(\frac{3}{2}\) .......(III)

2 Equation 2 variables for D1, D2 and hence using equation (II) and (III) we can find the value of D1 and D2 but we dont know the values of S1 or S2. hence we cannot determine the value of time.

Statement 1 is not sufficient


Statement 2 = Only speed of Pihu can be calculated and no information is given about the Speed of rajesh or the distance traveled by any one of them or both.
Hence Insufficient

Combining both , we can calculate the time to reach the meeting point for Pihu and this time will going to be same for rajesh also.

hence Correct Choice is Option C



please hit the Kudo Button
_________________

The Path is the Goal

Quant Mega Thread by Bunnel
WTF is “that” doing in my sentence? By VerbalNinja


Originally posted by soapbolt on 26 Nov 2018, 02:44.
Last edited by soapbolt on 26 Nov 2018, 23:54, edited 1 time in total.
DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
Re: Rajesh and Pihu started walking from the same point in opposite direct  [#permalink]

Show Tags

New post 26 Nov 2018, 22:40
1
soapbolt wrote:
Its a good trap Question , if you don't use the all the details given in the question.
Option A is the Correct the Choice

Given, Rajesh and Pihu are travelling in opposite direction.
Circumference(total Distance) = 300

Asked , Meeting point of Rajesh and Pihu ?

Statement 1 = Ratio of their speed 3:2
Now as we know time travel to reach the first meeting point will be same for both of them hence we have

\(\frac{D1}{S1}\) = \(\frac{D2}{S2}\) ........(I)
Where D1 is the distance travel by rajesh and S1 is the speed of rajesh and D2 is the distance travel by Pihu and S2 is the speed of Pihu.

Also D1 + D2 = 300 as we know both are travelling in opposite direction and total distance/circumference is 300 .......(II)

From the first equation we have
\(\frac{D1}{D2}\) =\(\frac{S1}{S2}\)
= \(\frac{D1}{D2}\) =\(\frac{3}{2}\) .......(III)

2 Equation 2 variables for D1, D2 and hence using equation (II) and (III) we can find the solution.

therefore statement 1 is sufficient.

Statement 2 = Only speed of Pihu can be calculated and no information is given about the Speed of rajesh.
Hence Insufficient

Correct Choice is Option A



please hit the Kudo Button



Hello

You raise a very good point here, BUT the question does not ask about the meeting point. The question asks about the time taken by them to meet for the first time.
Manager
Manager
User avatar
B
Joined: 05 Oct 2017
Posts: 63
Location: India
Schools: GWU '21, Isenberg'21
CAT Tests
Re: Rajesh and Pihu started walking from the same point in opposite direct  [#permalink]

Show Tags

New post 26 Nov 2018, 23:11
Yes you are correct amanvermagmat , question asked us when will the two meet which means time taken to reach meeting point
I solved question thinking "where is the meeting point" is asked and need to find that.

Thanks for the correction :)
_________________

The Path is the Goal

Quant Mega Thread by Bunnel
WTF is “that” doing in my sentence? By VerbalNinja

GMAT Club Bot
Re: Rajesh and Pihu started walking from the same point in opposite direct &nbs [#permalink] 26 Nov 2018, 23:11
Display posts from previous: Sort by

Rajesh and Pihu started walking from the same point in opposite direct

  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®.